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Finding the Third Proportional to 191,580 and 416,321

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Solution

The third proportional to 191,580 and 416,321 is: 904,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,580 : 416,321 = 416,321 : x
  2. Step 2: Convert to fraction form
    191,580/416,321 = 416,321/x
  3. Step 3: Cross multiply
    191,580x = 416,321 × 416,321
  4. Step 4: Simplify right side
    191,580x = 173,323,175,041
  5. Step 5: Solve for x
    x = 173,323,175,041/191,580
  6. Step 6: Final answer
    x = 904,703.91

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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.