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Finding the Third Proportional to 240,535 and 519,205

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Solution

The third proportional to 240,535 and 519,205 is: 1,120,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,535 : 519,205 = 519,205 : x
  2. Step 2: Convert to fraction form
    240,535/519,205 = 519,205/x
  3. Step 3: Cross multiply
    240,535x = 519,205 × 519,205
  4. Step 4: Simplify right side
    240,535x = 269,573,832,025
  5. Step 5: Solve for x
    x = 269,573,832,025/240,535
  6. Step 6: Final answer
    x = 1,120,726.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.