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Finding the Third Proportional to 240,477.19 and 380,769.19

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Solution

The third proportional to 240,477.19 and 380,769.19 is: 602,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,477.19 : 380,769.19 = 380,769.19 : x
  2. Step 2: Convert to fraction form
    240,477.19/380,769.19 = 380,769.19/x
  3. Step 3: Cross multiply
    240,477.19x = 380,769.19 × 380,769.19
  4. Step 4: Simplify right side
    240,477.19x = 144,985,174,149.41
  5. Step 5: Solve for x
    x = 144,985,174,149.41/240,477.19
  6. Step 6: Final answer
    x = 602,906.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.