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Finding the Third Proportional to 576,330 and 926,001

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Solution

The third proportional to 576,330 and 926,001 is: 1,487,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,330 : 926,001 = 926,001 : x
  2. Step 2: Convert to fraction form
    576,330/926,001 = 926,001/x
  3. Step 3: Cross multiply
    576,330x = 926,001 × 926,001
  4. Step 4: Simplify right side
    576,330x = 857,477,852,001
  5. Step 5: Solve for x
    x = 857,477,852,001/576,330
  6. Step 6: Final answer
    x = 1,487,824.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.