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Finding the Third Proportional to 375,376.50 and 809,803.13

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Solution

The third proportional to 375,376.50 and 809,803.13 is: 1,746,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,376.50 : 809,803.13 = 809,803.13 : x
  2. Step 2: Convert to fraction form
    375,376.50/809,803.13 = 809,803.13/x
  3. Step 3: Cross multiply
    375,376.50x = 809,803.13 × 809,803.13
  4. Step 4: Simplify right side
    375,376.50x = 655,781,101,259.77
  5. Step 5: Solve for x
    x = 655,781,101,259.77/375,376.50
  6. Step 6: Final answer
    x = 1,746,995.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.