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Finding the Third Proportional to 385,584 and 593,388

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Solution

The third proportional to 385,584 and 593,388 is: 913,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,584 : 593,388 = 593,388 : x
  2. Step 2: Convert to fraction form
    385,584/593,388 = 593,388/x
  3. Step 3: Cross multiply
    385,584x = 593,388 × 593,388
  4. Step 4: Simplify right side
    385,584x = 352,109,318,544
  5. Step 5: Solve for x
    x = 352,109,318,544/385,584
  6. Step 6: Final answer
    x = 913,184.46

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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.