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Finding the Third Proportional to 347,436 and 755,784

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Solution

The third proportional to 347,436 and 755,784 is: 1,644,071.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,436 : 755,784 = 755,784 : x
  2. Step 2: Convert to fraction form
    347,436/755,784 = 755,784/x
  3. Step 3: Cross multiply
    347,436x = 755,784 × 755,784
  4. Step 4: Simplify right side
    347,436x = 571,209,454,656
  5. Step 5: Solve for x
    x = 571,209,454,656/347,436
  6. Step 6: Final answer
    x = 1,644,071.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.