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Finding the Third Proportional to 358,056 and 790,623

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Solution

The third proportional to 358,056 and 790,623 is: 1,745,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,056 : 790,623 = 790,623 : x
  2. Step 2: Convert to fraction form
    358,056/790,623 = 790,623/x
  3. Step 3: Cross multiply
    358,056x = 790,623 × 790,623
  4. Step 4: Simplify right side
    358,056x = 625,084,728,129
  5. Step 5: Solve for x
    x = 625,084,728,129/358,056
  6. Step 6: Final answer
    x = 1,745,773.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.