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Finding the Third Proportional to 284,157 and 473,527.50

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Solution

The third proportional to 284,157 and 473,527.50 is: 789,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,157 : 473,527.50 = 473,527.50 : x
  2. Step 2: Convert to fraction form
    284,157/473,527.50 = 473,527.50/x
  3. Step 3: Cross multiply
    284,157x = 473,527.50 × 473,527.50
  4. Step 4: Simplify right side
    284,157x = 224,228,293,256.25
  5. Step 5: Solve for x
    x = 224,228,293,256.25/284,157
  6. Step 6: Final answer
    x = 789,100.02

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.