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Finding the Third Proportional to 402,008.06 and 883,715.06

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Solution

The third proportional to 402,008.06 and 883,715.06 is: 1,942,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,008.06 : 883,715.06 = 883,715.06 : x
  2. Step 2: Convert to fraction form
    402,008.06/883,715.06 = 883,715.06/x
  3. Step 3: Cross multiply
    402,008.06x = 883,715.06 × 883,715.06
  4. Step 4: Simplify right side
    402,008.06x = 780,952,311,689.38
  5. Step 5: Solve for x
    x = 780,952,311,689.38/402,008.06
  6. Step 6: Final answer
    x = 1,942,628.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.