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Finding the Third Proportional to 310,447,615.50 and 477,180,229.50

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Solution

The third proportional to 310,447,615.50 and 477,180,229.50 is: 733,460,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,447,615.50 : 477,180,229.50 = 477,180,229.50 : x
  2. Step 2: Convert to fraction form
    310,447,615.50/477,180,229.50 = 477,180,229.50/x
  3. Step 3: Cross multiply
    310,447,615.50x = 477,180,229.50 × 477,180,229.50
  4. Step 4: Simplify right side
    310,447,615.50x = 227,700,971,425,672,672
  5. Step 5: Solve for x
    x = 227,700,971,425,672,672/310,447,615.50
  6. Step 6: Final answer
    x = 733,460,204.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.