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Finding the Third Proportional to 246,316 and 530,288

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Solution

The third proportional to 246,316 and 530,288 is: 1,141,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,316 : 530,288 = 530,288 : x
  2. Step 2: Convert to fraction form
    246,316/530,288 = 530,288/x
  3. Step 3: Cross multiply
    246,316x = 530,288 × 530,288
  4. Step 4: Simplify right side
    246,316x = 281,205,362,944
  5. Step 5: Solve for x
    x = 281,205,362,944/246,316
  6. Step 6: Final answer
    x = 1,141,644.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.