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Finding the Third Proportional to 347,980 and 741,534

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Solution

The third proportional to 347,980 and 741,534 is: 1,580,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,980 : 741,534 = 741,534 : x
  2. Step 2: Convert to fraction form
    347,980/741,534 = 741,534/x
  3. Step 3: Cross multiply
    347,980x = 741,534 × 741,534
  4. Step 4: Simplify right side
    347,980x = 549,872,673,156
  5. Step 5: Solve for x
    x = 549,872,673,156/347,980
  6. Step 6: Final answer
    x = 1,580,184.70

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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.