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Finding the Third Proportional to 535,374 and 807,597

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Solution

The third proportional to 535,374 and 807,597 is: 1,218,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,374 : 807,597 = 807,597 : x
  2. Step 2: Convert to fraction form
    535,374/807,597 = 807,597/x
  3. Step 3: Cross multiply
    535,374x = 807,597 × 807,597
  4. Step 4: Simplify right side
    535,374x = 652,212,914,409
  5. Step 5: Solve for x
    x = 652,212,914,409/535,374
  6. Step 6: Final answer
    x = 1,218,237.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.