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Finding the Third Proportional to 586,913.50 and 932,899

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Solution

The third proportional to 586,913.50 and 932,899 is: 1,482,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,913.50 : 932,899 = 932,899 : x
  2. Step 2: Convert to fraction form
    586,913.50/932,899 = 932,899/x
  3. Step 3: Cross multiply
    586,913.50x = 932,899 × 932,899
  4. Step 4: Simplify right side
    586,913.50x = 870,300,544,201
  5. Step 5: Solve for x
    x = 870,300,544,201/586,913.50
  6. Step 6: Final answer
    x = 1,482,842.95

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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.