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Finding the Third Proportional to 246,830 and 532,048

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Solution

The third proportional to 246,830 and 532,048 is: 1,146,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,830 : 532,048 = 532,048 : x
  2. Step 2: Convert to fraction form
    246,830/532,048 = 532,048/x
  3. Step 3: Cross multiply
    246,830x = 532,048 × 532,048
  4. Step 4: Simplify right side
    246,830x = 283,075,074,304
  5. Step 5: Solve for x
    x = 283,075,074,304/246,830
  6. Step 6: Final answer
    x = 1,146,842.26

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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.