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Finding the Third Proportional to 241,448 and 514,084

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Solution

The third proportional to 241,448 and 514,084 is: 1,094,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,448 : 514,084 = 514,084 : x
  2. Step 2: Convert to fraction form
    241,448/514,084 = 514,084/x
  3. Step 3: Cross multiply
    241,448x = 514,084 × 514,084
  4. Step 4: Simplify right side
    241,448x = 264,282,359,056
  5. Step 5: Solve for x
    x = 264,282,359,056/241,448
  6. Step 6: Final answer
    x = 1,094,572.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.