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Finding the Third Proportional to 328,536 and 709,506

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Solution

The third proportional to 328,536 and 709,506 is: 1,532,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,536 : 709,506 = 709,506 : x
  2. Step 2: Convert to fraction form
    328,536/709,506 = 709,506/x
  3. Step 3: Cross multiply
    328,536x = 709,506 × 709,506
  4. Step 4: Simplify right side
    328,536x = 503,398,764,036
  5. Step 5: Solve for x
    x = 503,398,764,036/328,536
  6. Step 6: Final answer
    x = 1,532,248.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.