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Finding the Third Proportional to 283,348 and 616,541

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Solution

The third proportional to 283,348 and 616,541 is: 1,341,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,348 : 616,541 = 616,541 : x
  2. Step 2: Convert to fraction form
    283,348/616,541 = 616,541/x
  3. Step 3: Cross multiply
    283,348x = 616,541 × 616,541
  4. Step 4: Simplify right side
    283,348x = 380,122,804,681
  5. Step 5: Solve for x
    x = 380,122,804,681/283,348
  6. Step 6: Final answer
    x = 1,341,540.45

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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.