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Finding the Third Proportional to 242,562 and 510,259

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Solution

The third proportional to 242,562 and 510,259 is: 1,073,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,562 : 510,259 = 510,259 : x
  2. Step 2: Convert to fraction form
    242,562/510,259 = 510,259/x
  3. Step 3: Cross multiply
    242,562x = 510,259 × 510,259
  4. Step 4: Simplify right side
    242,562x = 260,364,247,081
  5. Step 5: Solve for x
    x = 260,364,247,081/242,562
  6. Step 6: Final answer
    x = 1,073,392.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.