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Finding the Third Proportional to 456,446.25 and 710,502.75

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Solution

The third proportional to 456,446.25 and 710,502.75 is: 1,105,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,446.25 : 710,502.75 = 710,502.75 : x
  2. Step 2: Convert to fraction form
    456,446.25/710,502.75 = 710,502.75/x
  3. Step 3: Cross multiply
    456,446.25x = 710,502.75 × 710,502.75
  4. Step 4: Simplify right side
    456,446.25x = 504,814,157,757.56
  5. Step 5: Solve for x
    x = 504,814,157,757.56/456,446.25
  6. Step 6: Final answer
    x = 1,105,966.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.