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Finding the Third Proportional to 265,069.13 and 409,524.19

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Solution

The third proportional to 265,069.13 and 409,524.19 is: 632,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,069.13 : 409,524.19 = 409,524.19 : x
  2. Step 2: Convert to fraction form
    265,069.13/409,524.19 = 409,524.19/x
  3. Step 3: Cross multiply
    265,069.13x = 409,524.19 × 409,524.19
  4. Step 4: Simplify right side
    265,069.13x = 167,710,060,147.54
  5. Step 5: Solve for x
    x = 167,710,060,147.54/265,069.13
  6. Step 6: Final answer
    x = 632,703.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.