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Finding the Third Proportional to 578,674 and 895,930

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Solution

The third proportional to 578,674 and 895,930 is: 1,387,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,674 : 895,930 = 895,930 : x
  2. Step 2: Convert to fraction form
    578,674/895,930 = 895,930/x
  3. Step 3: Cross multiply
    578,674x = 895,930 × 895,930
  4. Step 4: Simplify right side
    578,674x = 802,690,564,900
  5. Step 5: Solve for x
    x = 802,690,564,900/578,674
  6. Step 6: Final answer
    x = 1,387,120.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.