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Finding the Third Proportional to 458,001.84 and 657,409.92

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Solution

The third proportional to 458,001.84 and 657,409.92 is: 943,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,001.84 : 657,409.92 = 657,409.92 : x
  2. Step 2: Convert to fraction form
    458,001.84/657,409.92 = 657,409.92/x
  3. Step 3: Cross multiply
    458,001.84x = 657,409.92 × 657,409.92
  4. Step 4: Simplify right side
    458,001.84x = 432,187,805,379.69
  5. Step 5: Solve for x
    x = 432,187,805,379.69/458,001.84
  6. Step 6: Final answer
    x = 943,637.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.