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Finding the Third Proportional to 529,665.75 and 1,147,429.13

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Solution

The third proportional to 529,665.75 and 1,147,429.13 is: 2,485,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,665.75 : 1,147,429.13 = 1,147,429.13 : x
  2. Step 2: Convert to fraction form
    529,665.75/1,147,429.13 = 1,147,429.13/x
  3. Step 3: Cross multiply
    529,665.75x = 1,147,429.13 × 1,147,429.13
  4. Step 4: Simplify right side
    529,665.75x = 1,316,593,596,898.27
  5. Step 5: Solve for x
    x = 1,316,593,596,898.27/529,665.75
  6. Step 6: Final answer
    x = 2,485,706.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.