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Finding the Third Proportional to 431,325.75 and 907,272

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Solution

The third proportional to 431,325.75 and 907,272 is: 1,908,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,325.75 : 907,272 = 907,272 : x
  2. Step 2: Convert to fraction form
    431,325.75/907,272 = 907,272/x
  3. Step 3: Cross multiply
    431,325.75x = 907,272 × 907,272
  4. Step 4: Simplify right side
    431,325.75x = 823,142,481,984
  5. Step 5: Solve for x
    x = 823,142,481,984/431,325.75
  6. Step 6: Final answer
    x = 1,908,400.98

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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.