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Finding the Third Proportional to 476,496.75 and 740,881.13

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Solution

The third proportional to 476,496.75 and 740,881.13 is: 1,151,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,496.75 : 740,881.13 = 740,881.13 : x
  2. Step 2: Convert to fraction form
    476,496.75/740,881.13 = 740,881.13/x
  3. Step 3: Cross multiply
    476,496.75x = 740,881.13 × 740,881.13
  4. Step 4: Simplify right side
    476,496.75x = 548,904,841,381.27
  5. Step 5: Solve for x
    x = 548,904,841,381.27/476,496.75
  6. Step 6: Final answer
    x = 1,151,959.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.