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Finding the Third Proportional to 187,509 and 404,952

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Solution

The third proportional to 187,509 and 404,952 is: 874,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,509 : 404,952 = 404,952 : x
  2. Step 2: Convert to fraction form
    187,509/404,952 = 404,952/x
  3. Step 3: Cross multiply
    187,509x = 404,952 × 404,952
  4. Step 4: Simplify right side
    187,509x = 163,986,122,304
  5. Step 5: Solve for x
    x = 163,986,122,304/187,509
  6. Step 6: Final answer
    x = 874,550.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.