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Finding the Third Proportional to 419,566 and 645,277

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Solution

The third proportional to 419,566 and 645,277 is: 992,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,566 : 645,277 = 645,277 : x
  2. Step 2: Convert to fraction form
    419,566/645,277 = 645,277/x
  3. Step 3: Cross multiply
    419,566x = 645,277 × 645,277
  4. Step 4: Simplify right side
    419,566x = 416,382,406,729
  5. Step 5: Solve for x
    x = 416,382,406,729/419,566
  6. Step 6: Final answer
    x = 992,412.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.