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Finding the Third Proportional to 635,416.88 and 968,032.69

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Solution

The third proportional to 635,416.88 and 968,032.69 is: 1,474,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,416.88 : 968,032.69 = 968,032.69 : x
  2. Step 2: Convert to fraction form
    635,416.88/968,032.69 = 968,032.69/x
  3. Step 3: Cross multiply
    635,416.88x = 968,032.69 × 968,032.69
  4. Step 4: Simplify right side
    635,416.88x = 937,087,284,068.47
  5. Step 5: Solve for x
    x = 937,087,284,068.47/635,416.88
  6. Step 6: Final answer
    x = 1,474,759.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.