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Finding the Third Proportional to 232,456 and 496,646

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Solution

The third proportional to 232,456 and 496,646 is: 1,061,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,456 : 496,646 = 496,646 : x
  2. Step 2: Convert to fraction form
    232,456/496,646 = 496,646/x
  3. Step 3: Cross multiply
    232,456x = 496,646 × 496,646
  4. Step 4: Simplify right side
    232,456x = 246,657,249,316
  5. Step 5: Solve for x
    x = 246,657,249,316/232,456
  6. Step 6: Final answer
    x = 1,061,092.20

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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.