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Finding the Third Proportional to 385,641 and 593,127

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Solution

The third proportional to 385,641 and 593,127 is: 912,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,641 : 593,127 = 593,127 : x
  2. Step 2: Convert to fraction form
    385,641/593,127 = 593,127/x
  3. Step 3: Cross multiply
    385,641x = 593,127 × 593,127
  4. Step 4: Simplify right side
    385,641x = 351,799,638,129
  5. Step 5: Solve for x
    x = 351,799,638,129/385,641
  6. Step 6: Final answer
    x = 912,246.46

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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.