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Finding the Third Proportional to 246,822 and 532,032

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Solution

The third proportional to 246,822 and 532,032 is: 1,146,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,822 : 532,032 = 532,032 : x
  2. Step 2: Convert to fraction form
    246,822/532,032 = 532,032/x
  3. Step 3: Cross multiply
    246,822x = 532,032 × 532,032
  4. Step 4: Simplify right side
    246,822x = 283,058,049,024
  5. Step 5: Solve for x
    x = 283,058,049,024/246,822
  6. Step 6: Final answer
    x = 1,146,810.45

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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.