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Finding the Third Proportional to 463,368 and 740,016

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Solution

The third proportional to 463,368 and 740,016 is: 1,181,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,368 : 740,016 = 740,016 : x
  2. Step 2: Convert to fraction form
    463,368/740,016 = 740,016/x
  3. Step 3: Cross multiply
    463,368x = 740,016 × 740,016
  4. Step 4: Simplify right side
    463,368x = 547,623,680,256
  5. Step 5: Solve for x
    x = 547,623,680,256/463,368
  6. Step 6: Final answer
    x = 1,181,833.19

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.