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Finding the Third Proportional to 385,638 and 593,118

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Solution

The third proportional to 385,638 and 593,118 is: 912,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,638 : 593,118 = 593,118 : x
  2. Step 2: Convert to fraction form
    385,638/593,118 = 593,118/x
  3. Step 3: Cross multiply
    385,638x = 593,118 × 593,118
  4. Step 4: Simplify right side
    385,638x = 351,788,961,924
  5. Step 5: Solve for x
    x = 351,788,961,924/385,638
  6. Step 6: Final answer
    x = 912,225.87

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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.