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Finding the Third Proportional to 586,912.50 and 932,897.25

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Solution

The third proportional to 586,912.50 and 932,897.25 is: 1,482,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,912.50 : 932,897.25 = 932,897.25 : x
  2. Step 2: Convert to fraction form
    586,912.50/932,897.25 = 932,897.25/x
  3. Step 3: Cross multiply
    586,912.50x = 932,897.25 × 932,897.25
  4. Step 4: Simplify right side
    586,912.50x = 870,297,279,057.56
  5. Step 5: Solve for x
    x = 870,297,279,057.56/586,912.50
  6. Step 6: Final answer
    x = 1,482,839.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.