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Finding the Third Proportional to 315,100.13 and 452,967.19

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Solution

The third proportional to 315,100.13 and 452,967.19 is: 651,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,100.13 : 452,967.19 = 452,967.19 : x
  2. Step 2: Convert to fraction form
    315,100.13/452,967.19 = 452,967.19/x
  3. Step 3: Cross multiply
    315,100.13x = 452,967.19 × 452,967.19
  4. Step 4: Simplify right side
    315,100.13x = 205,179,272,951.66
  5. Step 5: Solve for x
    x = 205,179,272,951.66/315,100.13
  6. Step 6: Final answer
    x = 651,155.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.