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Finding the Third Proportional to 187,588 and 410,752

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Solution

The third proportional to 187,588 and 410,752 is: 899,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,588 : 410,752 = 410,752 : x
  2. Step 2: Convert to fraction form
    187,588/410,752 = 410,752/x
  3. Step 3: Cross multiply
    187,588x = 410,752 × 410,752
  4. Step 4: Simplify right side
    187,588x = 168,717,205,504
  5. Step 5: Solve for x
    x = 168,717,205,504/187,588
  6. Step 6: Final answer
    x = 899,402.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.