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Finding the Third Proportional to 246,580 and 531,708

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Solution

The third proportional to 246,580 and 531,708 is: 1,146,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,580 : 531,708 = 531,708 : x
  2. Step 2: Convert to fraction form
    246,580/531,708 = 531,708/x
  3. Step 3: Cross multiply
    246,580x = 531,708 × 531,708
  4. Step 4: Simplify right side
    246,580x = 282,713,397,264
  5. Step 5: Solve for x
    x = 282,713,397,264/246,580
  6. Step 6: Final answer
    x = 1,146,538.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.