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Finding the Third Proportional to 348,849 and 760,000.50

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Solution

The third proportional to 348,849 and 760,000.50 is: 1,655,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,849 : 760,000.50 = 760,000.50 : x
  2. Step 2: Convert to fraction form
    348,849/760,000.50 = 760,000.50/x
  3. Step 3: Cross multiply
    348,849x = 760,000.50 × 760,000.50
  4. Step 4: Simplify right side
    348,849x = 577,600,760,000.25
  5. Step 5: Solve for x
    x = 577,600,760,000.25/348,849
  6. Step 6: Final answer
    x = 1,655,732.88

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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.