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Finding the Third Proportional to 322,252 and 706,712

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Solution

The third proportional to 322,252 and 706,712 is: 1,549,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,252 : 706,712 = 706,712 : x
  2. Step 2: Convert to fraction form
    322,252/706,712 = 706,712/x
  3. Step 3: Cross multiply
    322,252x = 706,712 × 706,712
  4. Step 4: Simplify right side
    322,252x = 499,441,850,944
  5. Step 5: Solve for x
    x = 499,441,850,944/322,252
  6. Step 6: Final answer
    x = 1,549,848.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.