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Finding the Third Proportional to 458,736 and 708,559

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Solution

The third proportional to 458,736 and 708,559 is: 1,094,433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,736 : 708,559 = 708,559 : x
  2. Step 2: Convert to fraction form
    458,736/708,559 = 708,559/x
  3. Step 3: Cross multiply
    458,736x = 708,559 × 708,559
  4. Step 4: Simplify right side
    458,736x = 502,055,856,481
  5. Step 5: Solve for x
    x = 502,055,856,481/458,736
  6. Step 6: Final answer
    x = 1,094,433.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.