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Finding the Third Proportional to 187,040 and 403,606

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Solution

The third proportional to 187,040 and 403,606 is: 870,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,040 : 403,606 = 403,606 : x
  2. Step 2: Convert to fraction form
    187,040/403,606 = 403,606/x
  3. Step 3: Cross multiply
    187,040x = 403,606 × 403,606
  4. Step 4: Simplify right side
    187,040x = 162,897,803,236
  5. Step 5: Solve for x
    x = 162,897,803,236/187,040
  6. Step 6: Final answer
    x = 870,924.95

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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.