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Finding the Third Proportional to 456,165 and 657,089.25

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Solution

The third proportional to 456,165 and 657,089.25 is: 946,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,165 : 657,089.25 = 657,089.25 : x
  2. Step 2: Convert to fraction form
    456,165/657,089.25 = 657,089.25/x
  3. Step 3: Cross multiply
    456,165x = 657,089.25 × 657,089.25
  4. Step 4: Simplify right side
    456,165x = 431,766,282,465.56
  5. Step 5: Solve for x
    x = 431,766,282,465.56/456,165
  6. Step 6: Final answer
    x = 946,513.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.