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Finding the Third Proportional to 375,219 and 802,926

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Solution

The third proportional to 375,219 and 802,926 is: 1,718,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,219 : 802,926 = 802,926 : x
  2. Step 2: Convert to fraction form
    375,219/802,926 = 802,926/x
  3. Step 3: Cross multiply
    375,219x = 802,926 × 802,926
  4. Step 4: Simplify right side
    375,219x = 644,690,161,476
  5. Step 5: Solve for x
    x = 644,690,161,476/375,219
  6. Step 6: Final answer
    x = 1,718,170.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.