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Finding the Third Proportional to 431,372.25 and 907,353

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Solution

The third proportional to 431,372.25 and 907,353 is: 1,908,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,372.25 : 907,353 = 907,353 : x
  2. Step 2: Convert to fraction form
    431,372.25/907,353 = 907,353/x
  3. Step 3: Cross multiply
    431,372.25x = 907,353 × 907,353
  4. Step 4: Simplify right side
    431,372.25x = 823,289,466,609
  5. Step 5: Solve for x
    x = 823,289,466,609/431,372.25
  6. Step 6: Final answer
    x = 1,908,536.00

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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.