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Finding the Third Proportional to 349,310 and 525,999

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Solution

The third proportional to 349,310 and 525,999 is: 792,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,310 : 525,999 = 525,999 : x
  2. Step 2: Convert to fraction form
    349,310/525,999 = 525,999/x
  3. Step 3: Cross multiply
    349,310x = 525,999 × 525,999
  4. Step 4: Simplify right side
    349,310x = 276,674,948,001
  5. Step 5: Solve for x
    x = 276,674,948,001/349,310
  6. Step 6: Final answer
    x = 792,061.34

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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.