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Finding the Third Proportional to 385,653 and 593,145

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Solution

The third proportional to 385,653 and 593,145 is: 912,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,653 : 593,145 = 593,145 : x
  2. Step 2: Convert to fraction form
    385,653/593,145 = 593,145/x
  3. Step 3: Cross multiply
    385,653x = 593,145 × 593,145
  4. Step 4: Simplify right side
    385,653x = 351,820,991,025
  5. Step 5: Solve for x
    x = 351,820,991,025/385,653
  6. Step 6: Final answer
    x = 912,273.45

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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.