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Finding the Third Proportional to 266,238 and 583,506

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Solution

The third proportional to 266,238 and 583,506 is: 1,278,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,238 : 583,506 = 583,506 : x
  2. Step 2: Convert to fraction form
    266,238/583,506 = 583,506/x
  3. Step 3: Cross multiply
    266,238x = 583,506 × 583,506
  4. Step 4: Simplify right side
    266,238x = 340,479,252,036
  5. Step 5: Solve for x
    x = 340,479,252,036/266,238
  6. Step 6: Final answer
    x = 1,278,852.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.