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Finding the Third Proportional to 285,418 and 444,468

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Solution

The third proportional to 285,418 and 444,468 is: 692,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,418 : 444,468 = 444,468 : x
  2. Step 2: Convert to fraction form
    285,418/444,468 = 444,468/x
  3. Step 3: Cross multiply
    285,418x = 444,468 × 444,468
  4. Step 4: Simplify right side
    285,418x = 197,551,803,024
  5. Step 5: Solve for x
    x = 197,551,803,024/285,418
  6. Step 6: Final answer
    x = 692,149.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.