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Finding the Third Proportional to 410,448 and 630,468

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Solution

The third proportional to 410,448 and 630,468 is: 968,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,448 : 630,468 = 630,468 : x
  2. Step 2: Convert to fraction form
    410,448/630,468 = 630,468/x
  3. Step 3: Cross multiply
    410,448x = 630,468 × 630,468
  4. Step 4: Simplify right side
    410,448x = 397,489,899,024
  5. Step 5: Solve for x
    x = 397,489,899,024/410,448
  6. Step 6: Final answer
    x = 968,429.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.