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Finding the Third Proportional to 556,498 and 834,864

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Solution

The third proportional to 556,498 and 834,864 is: 1,252,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,498 : 834,864 = 834,864 : x
  2. Step 2: Convert to fraction form
    556,498/834,864 = 834,864/x
  3. Step 3: Cross multiply
    556,498x = 834,864 × 834,864
  4. Step 4: Simplify right side
    556,498x = 696,997,898,496
  5. Step 5: Solve for x
    x = 696,997,898,496/556,498
  6. Step 6: Final answer
    x = 1,252,471.52

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