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Finding the Third Proportional to 246,406 and 527,804

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Solution

The third proportional to 246,406 and 527,804 is: 1,130,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,406 : 527,804 = 527,804 : x
  2. Step 2: Convert to fraction form
    246,406/527,804 = 527,804/x
  3. Step 3: Cross multiply
    246,406x = 527,804 × 527,804
  4. Step 4: Simplify right side
    246,406x = 278,577,062,416
  5. Step 5: Solve for x
    x = 278,577,062,416/246,406
  6. Step 6: Final answer
    x = 1,130,561.20

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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.