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Finding the Third Proportional to 338,310 and 801,468

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Solution

The third proportional to 338,310 and 801,468 is: 1,898,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,310 : 801,468 = 801,468 : x
  2. Step 2: Convert to fraction form
    338,310/801,468 = 801,468/x
  3. Step 3: Cross multiply
    338,310x = 801,468 × 801,468
  4. Step 4: Simplify right side
    338,310x = 642,350,955,024
  5. Step 5: Solve for x
    x = 642,350,955,024/338,310
  6. Step 6: Final answer
    x = 1,898,705.20

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.