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Finding the Third Proportional to 617,504 and 923,952

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Solution

The third proportional to 617,504 and 923,952 is: 1,382,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,504 : 923,952 = 923,952 : x
  2. Step 2: Convert to fraction form
    617,504/923,952 = 923,952/x
  3. Step 3: Cross multiply
    617,504x = 923,952 × 923,952
  4. Step 4: Simplify right side
    617,504x = 853,687,298,304
  5. Step 5: Solve for x
    x = 853,687,298,304/617,504
  6. Step 6: Final answer
    x = 1,382,480.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.