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Finding the Third Proportional to 283,248 and 616,448

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Solution

The third proportional to 283,248 and 616,448 is: 1,341,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,248 : 616,448 = 616,448 : x
  2. Step 2: Convert to fraction form
    283,248/616,448 = 616,448/x
  3. Step 3: Cross multiply
    283,248x = 616,448 × 616,448
  4. Step 4: Simplify right side
    283,248x = 380,008,136,704
  5. Step 5: Solve for x
    x = 380,008,136,704/283,248
  6. Step 6: Final answer
    x = 1,341,609.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.