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Finding the Third Proportional to 570,919.50 and 856,377

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Solution

The third proportional to 570,919.50 and 856,377 is: 1,284,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,919.50 : 856,377 = 856,377 : x
  2. Step 2: Convert to fraction form
    570,919.50/856,377 = 856,377/x
  3. Step 3: Cross multiply
    570,919.50x = 856,377 × 856,377
  4. Step 4: Simplify right side
    570,919.50x = 733,381,566,129
  5. Step 5: Solve for x
    x = 733,381,566,129/570,919.50
  6. Step 6: Final answer
    x = 1,284,562.13

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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.