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Finding the Third Proportional to 246,496 and 525,760

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Solution

The third proportional to 246,496 and 525,760 is: 1,121,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,496 : 525,760 = 525,760 : x
  2. Step 2: Convert to fraction form
    246,496/525,760 = 525,760/x
  3. Step 3: Cross multiply
    246,496x = 525,760 × 525,760
  4. Step 4: Simplify right side
    246,496x = 276,423,577,600
  5. Step 5: Solve for x
    x = 276,423,577,600/246,496
  6. Step 6: Final answer
    x = 1,121,412.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.