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Finding the Third Proportional to 576,366 and 926,055

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Solution

The third proportional to 576,366 and 926,055 is: 1,487,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,366 : 926,055 = 926,055 : x
  2. Step 2: Convert to fraction form
    576,366/926,055 = 926,055/x
  3. Step 3: Cross multiply
    576,366x = 926,055 × 926,055
  4. Step 4: Simplify right side
    576,366x = 857,577,863,025
  5. Step 5: Solve for x
    x = 857,577,863,025/576,366
  6. Step 6: Final answer
    x = 1,487,905.02

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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.