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Finding the Third Proportional to 385,636 and 593,114

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Solution

The third proportional to 385,636 and 593,114 is: 912,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,636 : 593,114 = 593,114 : x
  2. Step 2: Convert to fraction form
    385,636/593,114 = 593,114/x
  3. Step 3: Cross multiply
    385,636x = 593,114 × 593,114
  4. Step 4: Simplify right side
    385,636x = 351,784,216,996
  5. Step 5: Solve for x
    x = 351,784,216,996/385,636
  6. Step 6: Final answer
    x = 912,218.30

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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.