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Finding the Third Proportional to 345,080 and 463,755

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Solution

The third proportional to 345,080 and 463,755 is: 623,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,080 : 463,755 = 463,755 : x
  2. Step 2: Convert to fraction form
    345,080/463,755 = 463,755/x
  3. Step 3: Cross multiply
    345,080x = 463,755 × 463,755
  4. Step 4: Simplify right side
    345,080x = 215,068,700,025
  5. Step 5: Solve for x
    x = 215,068,700,025/345,080
  6. Step 6: Final answer
    x = 623,243.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.