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Finding the Third Proportional to 295,076 and 447,068

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Solution

The third proportional to 295,076 and 447,068 is: 677,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,076 : 447,068 = 447,068 : x
  2. Step 2: Convert to fraction form
    295,076/447,068 = 447,068/x
  3. Step 3: Cross multiply
    295,076x = 447,068 × 447,068
  4. Step 4: Simplify right side
    295,076x = 199,869,796,624
  5. Step 5: Solve for x
    x = 199,869,796,624/295,076
  6. Step 6: Final answer
    x = 677,350.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.