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Finding the Third Proportional to 291,217.50 and 636,315

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Solution

The third proportional to 291,217.50 and 636,315 is: 1,390,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,217.50 : 636,315 = 636,315 : x
  2. Step 2: Convert to fraction form
    291,217.50/636,315 = 636,315/x
  3. Step 3: Cross multiply
    291,217.50x = 636,315 × 636,315
  4. Step 4: Simplify right side
    291,217.50x = 404,896,779,225
  5. Step 5: Solve for x
    x = 404,896,779,225/291,217.50
  6. Step 6: Final answer
    x = 1,390,358.68

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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.