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Finding the Third Proportional to 458,420 and 708,366

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Solution

The third proportional to 458,420 and 708,366 is: 1,094,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,420 : 708,366 = 708,366 : x
  2. Step 2: Convert to fraction form
    458,420/708,366 = 708,366/x
  3. Step 3: Cross multiply
    458,420x = 708,366 × 708,366
  4. Step 4: Simplify right side
    458,420x = 501,782,389,956
  5. Step 5: Solve for x
    x = 501,782,389,956/458,420
  6. Step 6: Final answer
    x = 1,094,590.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.