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Finding the Third Proportional to 295,812 and 480,603.38

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Solution

The third proportional to 295,812 and 480,603.38 is: 780,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,812 : 480,603.38 = 480,603.38 : x
  2. Step 2: Convert to fraction form
    295,812/480,603.38 = 480,603.38/x
  3. Step 3: Cross multiply
    295,812x = 480,603.38 × 480,603.38
  4. Step 4: Simplify right side
    295,812x = 230,979,604,061.39
  5. Step 5: Solve for x
    x = 230,979,604,061.39/295,812
  6. Step 6: Final answer
    x = 780,832.43

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.