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Finding the Third Proportional to 557,929.69 and 834,732.84

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Solution

The third proportional to 557,929.69 and 834,732.84 is: 1,248,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,929.69 : 834,732.84 = 834,732.84 : x
  2. Step 2: Convert to fraction form
    557,929.69/834,732.84 = 834,732.84/x
  3. Step 3: Cross multiply
    557,929.69x = 834,732.84 × 834,732.84
  4. Step 4: Simplify right side
    557,929.69x = 696,778,920,434.96
  5. Step 5: Solve for x
    x = 696,778,920,434.96/557,929.69
  6. Step 6: Final answer
    x = 1,248,865.11

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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.