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Finding the Third Proportional to 360,293 and 782,122

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Solution

The third proportional to 360,293 and 782,122 is: 1,697,826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,293 : 782,122 = 782,122 : x
  2. Step 2: Convert to fraction form
    360,293/782,122 = 782,122/x
  3. Step 3: Cross multiply
    360,293x = 782,122 × 782,122
  4. Step 4: Simplify right side
    360,293x = 611,714,822,884
  5. Step 5: Solve for x
    x = 611,714,822,884/360,293
  6. Step 6: Final answer
    x = 1,697,826.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.