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Finding the Third Proportional to 413,940.38 and 607,282.31

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Solution

The third proportional to 413,940.38 and 607,282.31 is: 890,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,940.38 : 607,282.31 = 607,282.31 : x
  2. Step 2: Convert to fraction form
    413,940.38/607,282.31 = 607,282.31/x
  3. Step 3: Cross multiply
    413,940.38x = 607,282.31 × 607,282.31
  4. Step 4: Simplify right side
    413,940.38x = 368,791,807,075.35
  5. Step 5: Solve for x
    x = 368,791,807,075.35/413,940.38
  6. Step 6: Final answer
    x = 890,929.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.