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Finding the Third Proportional to 458,644 and 708,414

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Solution

The third proportional to 458,644 and 708,414 is: 1,094,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,644 : 708,414 = 708,414 : x
  2. Step 2: Convert to fraction form
    458,644/708,414 = 708,414/x
  3. Step 3: Cross multiply
    458,644x = 708,414 × 708,414
  4. Step 4: Simplify right side
    458,644x = 501,850,395,396
  5. Step 5: Solve for x
    x = 501,850,395,396/458,644
  6. Step 6: Final answer
    x = 1,094,204.65

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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.