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Finding the Third Proportional to 291,412 and 463,374

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Solution

The third proportional to 291,412 and 463,374 is: 736,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,412 : 463,374 = 463,374 : x
  2. Step 2: Convert to fraction form
    291,412/463,374 = 463,374/x
  3. Step 3: Cross multiply
    291,412x = 463,374 × 463,374
  4. Step 4: Simplify right side
    291,412x = 214,715,463,876
  5. Step 5: Solve for x
    x = 214,715,463,876/291,412
  6. Step 6: Final answer
    x = 736,810.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.