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Finding the Third Proportional to 207,543.50 and 455,705

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Solution

The third proportional to 207,543.50 and 455,705 is: 1,000,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,543.50 : 455,705 = 455,705 : x
  2. Step 2: Convert to fraction form
    207,543.50/455,705 = 455,705/x
  3. Step 3: Cross multiply
    207,543.50x = 455,705 × 455,705
  4. Step 4: Simplify right side
    207,543.50x = 207,667,047,025
  5. Step 5: Solve for x
    x = 207,667,047,025/207,543.50
  6. Step 6: Final answer
    x = 1,000,595.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.