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Finding the Third Proportional to 353,135 and 540,314

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Solution

The third proportional to 353,135 and 540,314 is: 826,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,135 : 540,314 = 540,314 : x
  2. Step 2: Convert to fraction form
    353,135/540,314 = 540,314/x
  3. Step 3: Cross multiply
    353,135x = 540,314 × 540,314
  4. Step 4: Simplify right side
    353,135x = 291,939,218,596
  5. Step 5: Solve for x
    x = 291,939,218,596/353,135
  6. Step 6: Final answer
    x = 826,707.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.