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Finding the Third Proportional to 356,856.75 and 525,426.75

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Solution

The third proportional to 356,856.75 and 525,426.75 is: 773,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,856.75 : 525,426.75 = 525,426.75 : x
  2. Step 2: Convert to fraction form
    356,856.75/525,426.75 = 525,426.75/x
  3. Step 3: Cross multiply
    356,856.75x = 525,426.75 × 525,426.75
  4. Step 4: Simplify right side
    356,856.75x = 276,073,269,615.56
  5. Step 5: Solve for x
    x = 276,073,269,615.56/356,856.75
  6. Step 6: Final answer
    x = 773,624.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.