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Finding the Third Proportional to 567,455 and 843,142

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Solution

The third proportional to 567,455 and 843,142 is: 1,252,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,455 : 843,142 = 843,142 : x
  2. Step 2: Convert to fraction form
    567,455/843,142 = 843,142/x
  3. Step 3: Cross multiply
    567,455x = 843,142 × 843,142
  4. Step 4: Simplify right side
    567,455x = 710,888,432,164
  5. Step 5: Solve for x
    x = 710,888,432,164/567,455
  6. Step 6: Final answer
    x = 1,252,766.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.