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Finding the Third Proportional to 366,704 and 567,323

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Solution

The third proportional to 366,704 and 567,323 is: 877,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,704 : 567,323 = 567,323 : x
  2. Step 2: Convert to fraction form
    366,704/567,323 = 567,323/x
  3. Step 3: Cross multiply
    366,704x = 567,323 × 567,323
  4. Step 4: Simplify right side
    366,704x = 321,855,386,329
  5. Step 5: Solve for x
    x = 321,855,386,329/366,704
  6. Step 6: Final answer
    x = 877,698.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.