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Finding the Third Proportional to 187,838 and 407,518

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Solution

The third proportional to 187,838 and 407,518 is: 884,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,838 : 407,518 = 407,518 : x
  2. Step 2: Convert to fraction form
    187,838/407,518 = 407,518/x
  3. Step 3: Cross multiply
    187,838x = 407,518 × 407,518
  4. Step 4: Simplify right side
    187,838x = 166,070,920,324
  5. Step 5: Solve for x
    x = 166,070,920,324/187,838
  6. Step 6: Final answer
    x = 884,117.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.