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Finding the Third Proportional to 431,496 and 938,281.50

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Solution

The third proportional to 431,496 and 938,281.50 is: 2,040,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,496 : 938,281.50 = 938,281.50 : x
  2. Step 2: Convert to fraction form
    431,496/938,281.50 = 938,281.50/x
  3. Step 3: Cross multiply
    431,496x = 938,281.50 × 938,281.50
  4. Step 4: Simplify right side
    431,496x = 880,372,173,242.25
  5. Step 5: Solve for x
    x = 880,372,173,242.25/431,496
  6. Step 6: Final answer
    x = 2,040,278.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.