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Finding the Third Proportional to 586,903.50 and 932,883.75

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Solution

The third proportional to 586,903.50 and 932,883.75 is: 1,482,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,903.50 : 932,883.75 = 932,883.75 : x
  2. Step 2: Convert to fraction form
    586,903.50/932,883.75 = 932,883.75/x
  3. Step 3: Cross multiply
    586,903.50x = 932,883.75 × 932,883.75
  4. Step 4: Simplify right side
    586,903.50x = 870,272,091,014.06
  5. Step 5: Solve for x
    x = 870,272,091,014.06/586,903.50
  6. Step 6: Final answer
    x = 1,482,819.73

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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.