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Finding the Third Proportional to 331,506 and 725,708

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Solution

The third proportional to 331,506 and 725,708 is: 1,588,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,506 : 725,708 = 725,708 : x
  2. Step 2: Convert to fraction form
    331,506/725,708 = 725,708/x
  3. Step 3: Cross multiply
    331,506x = 725,708 × 725,708
  4. Step 4: Simplify right side
    331,506x = 526,652,101,264
  5. Step 5: Solve for x
    x = 526,652,101,264/331,506
  6. Step 6: Final answer
    x = 1,588,665.37

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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.