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Finding the Third Proportional to 353,087 and 772,192

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Solution

The third proportional to 353,087 and 772,192 is: 1,688,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,087 : 772,192 = 772,192 : x
  2. Step 2: Convert to fraction form
    353,087/772,192 = 772,192/x
  3. Step 3: Cross multiply
    353,087x = 772,192 × 772,192
  4. Step 4: Simplify right side
    353,087x = 596,280,484,864
  5. Step 5: Solve for x
    x = 596,280,484,864/353,087
  6. Step 6: Final answer
    x = 1,688,763.63

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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.