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Finding the Third Proportional to 187,821 and 442,931

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Solution

The third proportional to 187,821 and 442,931 is: 1,044,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,821 : 442,931 = 442,931 : x
  2. Step 2: Convert to fraction form
    187,821/442,931 = 442,931/x
  3. Step 3: Cross multiply
    187,821x = 442,931 × 442,931
  4. Step 4: Simplify right side
    187,821x = 196,187,870,761
  5. Step 5: Solve for x
    x = 196,187,870,761/187,821
  6. Step 6: Final answer
    x = 1,044,547.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.