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Finding the Third Proportional to 431,330 and 907,280

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Solution

The third proportional to 431,330 and 907,280 is: 1,908,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,330 : 907,280 = 907,280 : x
  2. Step 2: Convert to fraction form
    431,330/907,280 = 907,280/x
  3. Step 3: Cross multiply
    431,330x = 907,280 × 907,280
  4. Step 4: Simplify right side
    431,330x = 823,156,998,400
  5. Step 5: Solve for x
    x = 823,156,998,400/431,330
  6. Step 6: Final answer
    x = 1,908,415.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.