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Finding the Third Proportional to 437,225 and 659,853.50

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Solution

The third proportional to 437,225 and 659,853.50 is: 995,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,225 : 659,853.50 = 659,853.50 : x
  2. Step 2: Convert to fraction form
    437,225/659,853.50 = 659,853.50/x
  3. Step 3: Cross multiply
    437,225x = 659,853.50 × 659,853.50
  4. Step 4: Simplify right side
    437,225x = 435,406,641,462.25
  5. Step 5: Solve for x
    x = 435,406,641,462.25/437,225
  6. Step 6: Final answer
    x = 995,841.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.