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Finding the Third Proportional to 385,560 and 593,028

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Solution

The third proportional to 385,560 and 593,028 is: 912,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,560 : 593,028 = 593,028 : x
  2. Step 2: Convert to fraction form
    385,560/593,028 = 593,028/x
  3. Step 3: Cross multiply
    385,560x = 593,028 × 593,028
  4. Step 4: Simplify right side
    385,560x = 351,682,208,784
  5. Step 5: Solve for x
    x = 351,682,208,784/385,560
  6. Step 6: Final answer
    x = 912,133.54

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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.