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Finding the Third Proportional to 556,464 and 834,816

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Solution

The third proportional to 556,464 and 834,816 is: 1,252,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,464 : 834,816 = 834,816 : x
  2. Step 2: Convert to fraction form
    556,464/834,816 = 834,816/x
  3. Step 3: Cross multiply
    556,464x = 834,816 × 834,816
  4. Step 4: Simplify right side
    556,464x = 696,917,753,856
  5. Step 5: Solve for x
    x = 696,917,753,856/556,464
  6. Step 6: Final answer
    x = 1,252,404.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.