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Finding the Third Proportional to 598,608 and 709,326

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Solution

The third proportional to 598,608 and 709,326 is: 840,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,608 : 709,326 = 709,326 : x
  2. Step 2: Convert to fraction form
    598,608/709,326 = 709,326/x
  3. Step 3: Cross multiply
    598,608x = 709,326 × 709,326
  4. Step 4: Simplify right side
    598,608x = 503,143,374,276
  5. Step 5: Solve for x
    x = 503,143,374,276/598,608
  6. Step 6: Final answer
    x = 840,522.30

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.