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Finding the Third Proportional to 366,870 and 803,219

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Solution

The third proportional to 366,870 and 803,219 is: 1,758,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,870 : 803,219 = 803,219 : x
  2. Step 2: Convert to fraction form
    366,870/803,219 = 803,219/x
  3. Step 3: Cross multiply
    366,870x = 803,219 × 803,219
  4. Step 4: Simplify right side
    366,870x = 645,160,761,961
  5. Step 5: Solve for x
    x = 645,160,761,961/366,870
  6. Step 6: Final answer
    x = 1,758,554.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.