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Finding the Third Proportional to 458,656 and 708,432

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Solution

The third proportional to 458,656 and 708,432 is: 1,094,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,656 : 708,432 = 708,432 : x
  2. Step 2: Convert to fraction form
    458,656/708,432 = 708,432/x
  3. Step 3: Cross multiply
    458,656x = 708,432 × 708,432
  4. Step 4: Simplify right side
    458,656x = 501,875,898,624
  5. Step 5: Solve for x
    x = 501,875,898,624/458,656
  6. Step 6: Final answer
    x = 1,094,231.62

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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.