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Finding the Third Proportional to 335,610 and 487,563

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Solution

The third proportional to 335,610 and 487,563 is: 708,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,610 : 487,563 = 487,563 : x
  2. Step 2: Convert to fraction form
    335,610/487,563 = 487,563/x
  3. Step 3: Cross multiply
    335,610x = 487,563 × 487,563
  4. Step 4: Simplify right side
    335,610x = 237,717,678,969
  5. Step 5: Solve for x
    x = 237,717,678,969/335,610
  6. Step 6: Final answer
    x = 708,315.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.