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Finding the Third Proportional to 455,454 and 723,882

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Solution

The third proportional to 455,454 and 723,882 is: 1,150,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,454 : 723,882 = 723,882 : x
  2. Step 2: Convert to fraction form
    455,454/723,882 = 723,882/x
  3. Step 3: Cross multiply
    455,454x = 723,882 × 723,882
  4. Step 4: Simplify right side
    455,454x = 524,005,149,924
  5. Step 5: Solve for x
    x = 524,005,149,924/455,454
  6. Step 6: Final answer
    x = 1,150,511.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.