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Finding the Third Proportional to 400,377 and 870,630

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Solution

The third proportional to 400,377 and 870,630 is: 1,893,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,377 : 870,630 = 870,630 : x
  2. Step 2: Convert to fraction form
    400,377/870,630 = 870,630/x
  3. Step 3: Cross multiply
    400,377x = 870,630 × 870,630
  4. Step 4: Simplify right side
    400,377x = 757,996,596,900
  5. Step 5: Solve for x
    x = 757,996,596,900/400,377
  6. Step 6: Final answer
    x = 1,893,207.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.