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Finding the Third Proportional to 567,454 and 843,141

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Solution

The third proportional to 567,454 and 843,141 is: 1,252,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,454 : 843,141 = 843,141 : x
  2. Step 2: Convert to fraction form
    567,454/843,141 = 843,141/x
  3. Step 3: Cross multiply
    567,454x = 843,141 × 843,141
  4. Step 4: Simplify right side
    567,454x = 710,886,745,881
  5. Step 5: Solve for x
    x = 710,886,745,881/567,454
  6. Step 6: Final answer
    x = 1,252,765.42

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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.