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Finding the Third Proportional to 347,969 and 741,487

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Solution

The third proportional to 347,969 and 741,487 is: 1,580,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,969 : 741,487 = 741,487 : x
  2. Step 2: Convert to fraction form
    347,969/741,487 = 741,487/x
  3. Step 3: Cross multiply
    347,969x = 741,487 × 741,487
  4. Step 4: Simplify right side
    347,969x = 549,802,971,169
  5. Step 5: Solve for x
    x = 549,802,971,169/347,969
  6. Step 6: Final answer
    x = 1,580,034.35

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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.