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Finding the Third Proportional to 349,087.50 and 760,383

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Solution

The third proportional to 349,087.50 and 760,383 is: 1,656,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,087.50 : 760,383 = 760,383 : x
  2. Step 2: Convert to fraction form
    349,087.50/760,383 = 760,383/x
  3. Step 3: Cross multiply
    349,087.50x = 760,383 × 760,383
  4. Step 4: Simplify right side
    349,087.50x = 578,182,306,689
  5. Step 5: Solve for x
    x = 578,182,306,689/349,087.50
  6. Step 6: Final answer
    x = 1,656,267.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.