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Finding the Third Proportional to 244,989 and 576,415

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Solution

The third proportional to 244,989 and 576,415 is: 1,356,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,989 : 576,415 = 576,415 : x
  2. Step 2: Convert to fraction form
    244,989/576,415 = 576,415/x
  3. Step 3: Cross multiply
    244,989x = 576,415 × 576,415
  4. Step 4: Simplify right side
    244,989x = 332,254,252,225
  5. Step 5: Solve for x
    x = 332,254,252,225/244,989
  6. Step 6: Final answer
    x = 1,356,200.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.