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Finding the Third Proportional to 285,414 and 444,463

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Solution

The third proportional to 285,414 and 444,463 is: 692,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,414 : 444,463 = 444,463 : x
  2. Step 2: Convert to fraction form
    285,414/444,463 = 444,463/x
  3. Step 3: Cross multiply
    285,414x = 444,463 × 444,463
  4. Step 4: Simplify right side
    285,414x = 197,547,358,369
  5. Step 5: Solve for x
    x = 197,547,358,369/285,414
  6. Step 6: Final answer
    x = 692,143.20

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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.