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Finding the Third Proportional to 349,282 and 525,963

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Solution

The third proportional to 349,282 and 525,963 is: 792,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,282 : 525,963 = 525,963 : x
  2. Step 2: Convert to fraction form
    349,282/525,963 = 525,963/x
  3. Step 3: Cross multiply
    349,282x = 525,963 × 525,963
  4. Step 4: Simplify right side
    349,282x = 276,637,077,369
  5. Step 5: Solve for x
    x = 276,637,077,369/349,282
  6. Step 6: Final answer
    x = 792,016.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.