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Finding the Third Proportional to 312,712 and 737,464

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Solution

The third proportional to 312,712 and 737,464 is: 1,739,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,712 : 737,464 = 737,464 : x
  2. Step 2: Convert to fraction form
    312,712/737,464 = 737,464/x
  3. Step 3: Cross multiply
    312,712x = 737,464 × 737,464
  4. Step 4: Simplify right side
    312,712x = 543,853,151,296
  5. Step 5: Solve for x
    x = 543,853,151,296/312,712
  6. Step 6: Final answer
    x = 1,739,150.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.