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Finding the Third Proportional to 468,477 and 741,087

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Solution

The third proportional to 468,477 and 741,087 is: 1,172,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,477 : 741,087 = 741,087 : x
  2. Step 2: Convert to fraction form
    468,477/741,087 = 741,087/x
  3. Step 3: Cross multiply
    468,477x = 741,087 × 741,087
  4. Step 4: Simplify right side
    468,477x = 549,209,941,569
  5. Step 5: Solve for x
    x = 549,209,941,569/468,477
  6. Step 6: Final answer
    x = 1,172,330.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.