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Finding the Third Proportional to 246,750 and 535,783

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Solution

The third proportional to 246,750 and 535,783 is: 1,163,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,750 : 535,783 = 535,783 : x
  2. Step 2: Convert to fraction form
    246,750/535,783 = 535,783/x
  3. Step 3: Cross multiply
    246,750x = 535,783 × 535,783
  4. Step 4: Simplify right side
    246,750x = 287,063,423,089
  5. Step 5: Solve for x
    x = 287,063,423,089/246,750
  6. Step 6: Final answer
    x = 1,163,377.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.