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Finding the Third Proportional to 456,154.88 and 657,078.75

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Solution

The third proportional to 456,154.88 and 657,078.75 is: 946,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,154.88 : 657,078.75 = 657,078.75 : x
  2. Step 2: Convert to fraction form
    456,154.88/657,078.75 = 657,078.75/x
  3. Step 3: Cross multiply
    456,154.88x = 657,078.75 × 657,078.75
  4. Step 4: Simplify right side
    456,154.88x = 431,752,483,701.56
  5. Step 5: Solve for x
    x = 431,752,483,701.56/456,154.88
  6. Step 6: Final answer
    x = 946,504.15

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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.