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Finding the Third Proportional to 291,124.50 and 636,558

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Solution

The third proportional to 291,124.50 and 636,558 is: 1,391,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,124.50 : 636,558 = 636,558 : x
  2. Step 2: Convert to fraction form
    291,124.50/636,558 = 636,558/x
  3. Step 3: Cross multiply
    291,124.50x = 636,558 × 636,558
  4. Step 4: Simplify right side
    291,124.50x = 405,206,087,364
  5. Step 5: Solve for x
    x = 405,206,087,364/291,124.50
  6. Step 6: Final answer
    x = 1,391,865.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.