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Finding the Third Proportional to 474,993 and 710,118

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Solution

The third proportional to 474,993 and 710,118 is: 1,061,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,993 : 710,118 = 710,118 : x
  2. Step 2: Convert to fraction form
    474,993/710,118 = 710,118/x
  3. Step 3: Cross multiply
    474,993x = 710,118 × 710,118
  4. Step 4: Simplify right side
    474,993x = 504,267,573,924
  5. Step 5: Solve for x
    x = 504,267,573,924/474,993
  6. Step 6: Final answer
    x = 1,061,631.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.