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Finding the Third Proportional to 336,072.38 and 532,411.31

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Solution

The third proportional to 336,072.38 and 532,411.31 is: 843,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,072.38 : 532,411.31 = 532,411.31 : x
  2. Step 2: Convert to fraction form
    336,072.38/532,411.31 = 532,411.31/x
  3. Step 3: Cross multiply
    336,072.38x = 532,411.31 × 532,411.31
  4. Step 4: Simplify right side
    336,072.38x = 283,461,805,677.97
  5. Step 5: Solve for x
    x = 283,461,805,677.97/336,072.38
  6. Step 6: Final answer
    x = 843,454.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.