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Finding the Third Proportional to 588,980 and 918,462

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Solution

The third proportional to 588,980 and 918,462 is: 1,432,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,980 : 918,462 = 918,462 : x
  2. Step 2: Convert to fraction form
    588,980/918,462 = 918,462/x
  3. Step 3: Cross multiply
    588,980x = 918,462 × 918,462
  4. Step 4: Simplify right side
    588,980x = 843,572,445,444
  5. Step 5: Solve for x
    x = 843,572,445,444/588,980
  6. Step 6: Final answer
    x = 1,432,259.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.