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Finding the Third Proportional to 534,618 and 706,667

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Solution

The third proportional to 534,618 and 706,667 is: 934,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,618 : 706,667 = 706,667 : x
  2. Step 2: Convert to fraction form
    534,618/706,667 = 706,667/x
  3. Step 3: Cross multiply
    534,618x = 706,667 × 706,667
  4. Step 4: Simplify right side
    534,618x = 499,378,248,889
  5. Step 5: Solve for x
    x = 499,378,248,889/534,618
  6. Step 6: Final answer
    x = 934,084.24

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.