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Finding the Third Proportional to 385,656 and 593,149.50

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Solution

The third proportional to 385,656 and 593,149.50 is: 912,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,656 : 593,149.50 = 593,149.50 : x
  2. Step 2: Convert to fraction form
    385,656/593,149.50 = 593,149.50/x
  3. Step 3: Cross multiply
    385,656x = 593,149.50 × 593,149.50
  4. Step 4: Simplify right side
    385,656x = 351,826,329,350.25
  5. Step 5: Solve for x
    x = 351,826,329,350.25/385,656
  6. Step 6: Final answer
    x = 912,280.19

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