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Finding the Third Proportional to 450,025.88 and 657,264.38

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Solution

The third proportional to 450,025.88 and 657,264.38 is: 959,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,025.88 : 657,264.38 = 657,264.38 : x
  2. Step 2: Convert to fraction form
    450,025.88/657,264.38 = 657,264.38/x
  3. Step 3: Cross multiply
    450,025.88x = 657,264.38 × 657,264.38
  4. Step 4: Simplify right side
    450,025.88x = 431,996,458,644.14
  5. Step 5: Solve for x
    x = 431,996,458,644.14/450,025.88
  6. Step 6: Final answer
    x = 959,936.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.