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Finding the Third Proportional to 291,147.75 and 636,271.88

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Solution

The third proportional to 291,147.75 and 636,271.88 is: 1,390,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,147.75 : 636,271.88 = 636,271.88 : x
  2. Step 2: Convert to fraction form
    291,147.75/636,271.88 = 636,271.88/x
  3. Step 3: Cross multiply
    291,147.75x = 636,271.88 × 636,271.88
  4. Step 4: Simplify right side
    291,147.75x = 404,841,898,916.02
  5. Step 5: Solve for x
    x = 404,841,898,916.02/291,147.75
  6. Step 6: Final answer
    x = 1,390,503.27

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