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Finding the Third Proportional to 586,915.50 and 932,902.50

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Solution

The third proportional to 586,915.50 and 932,902.50 is: 1,482,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,915.50 : 932,902.50 = 932,902.50 : x
  2. Step 2: Convert to fraction form
    586,915.50/932,902.50 = 932,902.50/x
  3. Step 3: Cross multiply
    586,915.50x = 932,902.50 × 932,902.50
  4. Step 4: Simplify right side
    586,915.50x = 870,307,074,506.25
  5. Step 5: Solve for x
    x = 870,307,074,506.25/586,915.50
  6. Step 6: Final answer
    x = 1,482,849.02

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