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Finding the Third Proportional to 404,471 and 881,332

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Solution

The third proportional to 404,471 and 881,332 is: 1,920,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,471 : 881,332 = 881,332 : x
  2. Step 2: Convert to fraction form
    404,471/881,332 = 881,332/x
  3. Step 3: Cross multiply
    404,471x = 881,332 × 881,332
  4. Step 4: Simplify right side
    404,471x = 776,746,094,224
  5. Step 5: Solve for x
    x = 776,746,094,224/404,471
  6. Step 6: Final answer
    x = 1,920,399.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.