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Finding the Third Proportional to 463,410 and 740,081

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Solution

The third proportional to 463,410 and 740,081 is: 1,181,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,410 : 740,081 = 740,081 : x
  2. Step 2: Convert to fraction form
    463,410/740,081 = 740,081/x
  3. Step 3: Cross multiply
    463,410x = 740,081 × 740,081
  4. Step 4: Simplify right side
    463,410x = 547,719,886,561
  5. Step 5: Solve for x
    x = 547,719,886,561/463,410
  6. Step 6: Final answer
    x = 1,181,933.68

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Why These Related Problems?

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