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Finding the Third Proportional to 659,242.50 and 1,439,295

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Solution

The third proportional to 659,242.50 and 1,439,295 is: 3,142,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,242.50 : 1,439,295 = 1,439,295 : x
  2. Step 2: Convert to fraction form
    659,242.50/1,439,295 = 1,439,295/x
  3. Step 3: Cross multiply
    659,242.50x = 1,439,295 × 1,439,295
  4. Step 4: Simplify right side
    659,242.50x = 2,071,570,097,025
  5. Step 5: Solve for x
    x = 2,071,570,097,025/659,242.50
  6. Step 6: Final answer
    x = 3,142,349.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.