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Finding the Third Proportional to 291,564 and 631,488

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Solution

The third proportional to 291,564 and 631,488 is: 1,367,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,564 : 631,488 = 631,488 : x
  2. Step 2: Convert to fraction form
    291,564/631,488 = 631,488/x
  3. Step 3: Cross multiply
    291,564x = 631,488 × 631,488
  4. Step 4: Simplify right side
    291,564x = 398,777,094,144
  5. Step 5: Solve for x
    x = 398,777,094,144/291,564
  6. Step 6: Final answer
    x = 1,367,717.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.