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Finding the Third Proportional to 402,109.52 and 626,902.66

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Solution

The third proportional to 402,109.52 and 626,902.66 is: 977,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,109.52 : 626,902.66 = 626,902.66 : x
  2. Step 2: Convert to fraction form
    402,109.52/626,902.66 = 626,902.66/x
  3. Step 3: Cross multiply
    402,109.52x = 626,902.66 × 626,902.66
  4. Step 4: Simplify right side
    402,109.52x = 393,006,950,208.66
  5. Step 5: Solve for x
    x = 393,006,950,208.66/402,109.52
  6. Step 6: Final answer
    x = 977,362.95

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.