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Finding the Third Proportional to 441,528 and 960,384

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Solution

The third proportional to 441,528 and 960,384 is: 2,088,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,528 : 960,384 = 960,384 : x
  2. Step 2: Convert to fraction form
    441,528/960,384 = 960,384/x
  3. Step 3: Cross multiply
    441,528x = 960,384 × 960,384
  4. Step 4: Simplify right side
    441,528x = 922,337,427,456
  5. Step 5: Solve for x
    x = 922,337,427,456/441,528
  6. Step 6: Final answer
    x = 2,088,967.01

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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.