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Finding the Third Proportional to 347,870 and 753,304

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Solution

The third proportional to 347,870 and 753,304 is: 1,631,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,870 : 753,304 = 753,304 : x
  2. Step 2: Convert to fraction form
    347,870/753,304 = 753,304/x
  3. Step 3: Cross multiply
    347,870x = 753,304 × 753,304
  4. Step 4: Simplify right side
    347,870x = 567,466,916,416
  5. Step 5: Solve for x
    x = 567,466,916,416/347,870
  6. Step 6: Final answer
    x = 1,631,261.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.