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Finding the Third Proportional to 377,350 and 560,894

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Solution

The third proportional to 377,350 and 560,894 is: 833,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,350 : 560,894 = 560,894 : x
  2. Step 2: Convert to fraction form
    377,350/560,894 = 560,894/x
  3. Step 3: Cross multiply
    377,350x = 560,894 × 560,894
  4. Step 4: Simplify right side
    377,350x = 314,602,079,236
  5. Step 5: Solve for x
    x = 314,602,079,236/377,350
  6. Step 6: Final answer
    x = 833,714.27

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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.