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Finding the Third Proportional to 347,713 and 745,328

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Solution

The third proportional to 347,713 and 745,328 is: 1,597,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,713 : 745,328 = 745,328 : x
  2. Step 2: Convert to fraction form
    347,713/745,328 = 745,328/x
  3. Step 3: Cross multiply
    347,713x = 745,328 × 745,328
  4. Step 4: Simplify right side
    347,713x = 555,513,827,584
  5. Step 5: Solve for x
    x = 555,513,827,584/347,713
  6. Step 6: Final answer
    x = 1,597,621.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.