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Finding the Third Proportional to 405,730 and 593,571

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Solution

The third proportional to 405,730 and 593,571 is: 868,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,730 : 593,571 = 593,571 : x
  2. Step 2: Convert to fraction form
    405,730/593,571 = 593,571/x
  3. Step 3: Cross multiply
    405,730x = 593,571 × 593,571
  4. Step 4: Simplify right side
    405,730x = 352,326,532,041
  5. Step 5: Solve for x
    x = 352,326,532,041/405,730
  6. Step 6: Final answer
    x = 868,376.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.