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Finding the Third Proportional to 353,102 and 540,252

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Solution

The third proportional to 353,102 and 540,252 is: 826,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,102 : 540,252 = 540,252 : x
  2. Step 2: Convert to fraction form
    353,102/540,252 = 540,252/x
  3. Step 3: Cross multiply
    353,102x = 540,252 × 540,252
  4. Step 4: Simplify right side
    353,102x = 291,872,223,504
  5. Step 5: Solve for x
    x = 291,872,223,504/353,102
  6. Step 6: Final answer
    x = 826,594.65

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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.