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Finding the Third Proportional to 357,779 and 781,897

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Solution

The third proportional to 357,779 and 781,897 is: 1,708,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,779 : 781,897 = 781,897 : x
  2. Step 2: Convert to fraction form
    357,779/781,897 = 781,897/x
  3. Step 3: Cross multiply
    357,779x = 781,897 × 781,897
  4. Step 4: Simplify right side
    357,779x = 611,362,918,609
  5. Step 5: Solve for x
    x = 611,362,918,609/357,779
  6. Step 6: Final answer
    x = 1,708,772.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.