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Finding the Third Proportional to 377,306 and 560,830

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Solution

The third proportional to 377,306 and 560,830 is: 833,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,306 : 560,830 = 560,830 : x
  2. Step 2: Convert to fraction form
    377,306/560,830 = 560,830/x
  3. Step 3: Cross multiply
    377,306x = 560,830 × 560,830
  4. Step 4: Simplify right side
    377,306x = 314,530,288,900
  5. Step 5: Solve for x
    x = 314,530,288,900/377,306
  6. Step 6: Final answer
    x = 833,621.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.