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Finding the Third Proportional to 422,460 and 655,332.75

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Solution

The third proportional to 422,460 and 655,332.75 is: 1,016,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,460 : 655,332.75 = 655,332.75 : x
  2. Step 2: Convert to fraction form
    422,460/655,332.75 = 655,332.75/x
  3. Step 3: Cross multiply
    422,460x = 655,332.75 × 655,332.75
  4. Step 4: Simplify right side
    422,460x = 429,461,013,222.56
  5. Step 5: Solve for x
    x = 429,461,013,222.56/422,460
  6. Step 6: Final answer
    x = 1,016,572.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.