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Finding the Third Proportional to 246,162 and 527,316

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Solution

The third proportional to 246,162 and 527,316 is: 1,129,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,162 : 527,316 = 527,316 : x
  2. Step 2: Convert to fraction form
    246,162/527,316 = 527,316/x
  3. Step 3: Cross multiply
    246,162x = 527,316 × 527,316
  4. Step 4: Simplify right side
    246,162x = 278,062,163,856
  5. Step 5: Solve for x
    x = 278,062,163,856/246,162
  6. Step 6: Final answer
    x = 1,129,590.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.