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Finding the Third Proportional to 525,624.75 and 823,471.88

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Solution

The third proportional to 525,624.75 and 823,471.88 is: 1,290,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,624.75 : 823,471.88 = 823,471.88 : x
  2. Step 2: Convert to fraction form
    525,624.75/823,471.88 = 823,471.88/x
  3. Step 3: Cross multiply
    525,624.75x = 823,471.88 × 823,471.88
  4. Step 4: Simplify right side
    525,624.75x = 678,105,928,916.02
  5. Step 5: Solve for x
    x = 678,105,928,916.02/525,624.75
  6. Step 6: Final answer
    x = 1,290,095.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.