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Finding the Third Proportional to 347,747 and 741,426

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Solution

The third proportional to 347,747 and 741,426 is: 1,580,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,747 : 741,426 = 741,426 : x
  2. Step 2: Convert to fraction form
    347,747/741,426 = 741,426/x
  3. Step 3: Cross multiply
    347,747x = 741,426 × 741,426
  4. Step 4: Simplify right side
    347,747x = 549,712,513,476
  5. Step 5: Solve for x
    x = 549,712,513,476/347,747
  6. Step 6: Final answer
    x = 1,580,782.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.