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Finding the Third Proportional to 385,342.50 and 593,019

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Solution

The third proportional to 385,342.50 and 593,019 is: 912,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,342.50 : 593,019 = 593,019 : x
  2. Step 2: Convert to fraction form
    385,342.50/593,019 = 593,019/x
  3. Step 3: Cross multiply
    385,342.50x = 593,019 × 593,019
  4. Step 4: Simplify right side
    385,342.50x = 351,671,534,361
  5. Step 5: Solve for x
    x = 351,671,534,361/385,342.50
  6. Step 6: Final answer
    x = 912,620.68

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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.