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Finding the Third Proportional to 195,585 and 452,781

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Solution

The third proportional to 195,585 and 452,781 is: 1,048,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,585 : 452,781 = 452,781 : x
  2. Step 2: Convert to fraction form
    195,585/452,781 = 452,781/x
  3. Step 3: Cross multiply
    195,585x = 452,781 × 452,781
  4. Step 4: Simplify right side
    195,585x = 205,010,633,961
  5. Step 5: Solve for x
    x = 205,010,633,961/195,585
  6. Step 6: Final answer
    x = 1,048,192.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.