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Finding the Third Proportional to 385,220.25 and 592,866

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Solution

The third proportional to 385,220.25 and 592,866 is: 912,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,220.25 : 592,866 = 592,866 : x
  2. Step 2: Convert to fraction form
    385,220.25/592,866 = 592,866/x
  3. Step 3: Cross multiply
    385,220.25x = 592,866 × 592,866
  4. Step 4: Simplify right side
    385,220.25x = 351,490,093,956
  5. Step 5: Solve for x
    x = 351,490,093,956/385,220.25
  6. Step 6: Final answer
    x = 912,439.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.