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Finding the Third Proportional to 387,552 and 834,480

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Solution

The third proportional to 387,552 and 834,480 is: 1,796,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,552 : 834,480 = 834,480 : x
  2. Step 2: Convert to fraction form
    387,552/834,480 = 834,480/x
  3. Step 3: Cross multiply
    387,552x = 834,480 × 834,480
  4. Step 4: Simplify right side
    387,552x = 696,356,870,400
  5. Step 5: Solve for x
    x = 696,356,870,400/387,552
  6. Step 6: Final answer
    x = 1,796,808.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.