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Finding the Third Proportional to 556,214 and 834,339

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Solution

The third proportional to 556,214 and 834,339 is: 1,251,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,214 : 834,339 = 834,339 : x
  2. Step 2: Convert to fraction form
    556,214/834,339 = 834,339/x
  3. Step 3: Cross multiply
    556,214x = 834,339 × 834,339
  4. Step 4: Simplify right side
    556,214x = 696,121,566,921
  5. Step 5: Solve for x
    x = 696,121,566,921/556,214
  6. Step 6: Final answer
    x = 1,251,535.50

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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.