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Finding the Third Proportional to 469,111.50 and 755,335.13

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Solution

The third proportional to 469,111.50 and 755,335.13 is: 1,216,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,111.50 : 755,335.13 = 755,335.13 : x
  2. Step 2: Convert to fraction form
    469,111.50/755,335.13 = 755,335.13/x
  3. Step 3: Cross multiply
    469,111.50x = 755,335.13 × 755,335.13
  4. Step 4: Simplify right side
    469,111.50x = 570,531,151,058.77
  5. Step 5: Solve for x
    x = 570,531,151,058.77/469,111.50
  6. Step 6: Final answer
    x = 1,216,195.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.