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Finding the Third Proportional to 242,562 and 510,261

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Solution

The third proportional to 242,562 and 510,261 is: 1,073,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,562 : 510,261 = 510,261 : x
  2. Step 2: Convert to fraction form
    242,562/510,261 = 510,261/x
  3. Step 3: Cross multiply
    242,562x = 510,261 × 510,261
  4. Step 4: Simplify right side
    242,562x = 260,366,288,121
  5. Step 5: Solve for x
    x = 260,366,288,121/242,562
  6. Step 6: Final answer
    x = 1,073,400.98

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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.