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Finding the Third Proportional to 586,443 and 864,112.50

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Solution

The third proportional to 586,443 and 864,112.50 is: 1,273,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,443 : 864,112.50 = 864,112.50 : x
  2. Step 2: Convert to fraction form
    586,443/864,112.50 = 864,112.50/x
  3. Step 3: Cross multiply
    586,443x = 864,112.50 × 864,112.50
  4. Step 4: Simplify right side
    586,443x = 746,690,412,656.25
  5. Step 5: Solve for x
    x = 746,690,412,656.25/586,443
  6. Step 6: Final answer
    x = 1,273,253.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.