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Finding the Third Proportional to 314,830.50 and 674,541

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Solution

The third proportional to 314,830.50 and 674,541 is: 1,445,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,830.50 : 674,541 = 674,541 : x
  2. Step 2: Convert to fraction form
    314,830.50/674,541 = 674,541/x
  3. Step 3: Cross multiply
    314,830.50x = 674,541 × 674,541
  4. Step 4: Simplify right side
    314,830.50x = 455,005,560,681
  5. Step 5: Solve for x
    x = 455,005,560,681/314,830.50
  6. Step 6: Final answer
    x = 1,445,239.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.