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Finding the Third Proportional to 246,703 and 531,473

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Solution

The third proportional to 246,703 and 531,473 is: 1,144,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,703 : 531,473 = 531,473 : x
  2. Step 2: Convert to fraction form
    246,703/531,473 = 531,473/x
  3. Step 3: Cross multiply
    246,703x = 531,473 × 531,473
  4. Step 4: Simplify right side
    246,703x = 282,463,549,729
  5. Step 5: Solve for x
    x = 282,463,549,729/246,703
  6. Step 6: Final answer
    x = 1,144,953.85

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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.