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Finding the Third Proportional to 585,808 and 795,768

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Solution

The third proportional to 585,808 and 795,768 is: 1,080,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,808 : 795,768 = 795,768 : x
  2. Step 2: Convert to fraction form
    585,808/795,768 = 795,768/x
  3. Step 3: Cross multiply
    585,808x = 795,768 × 795,768
  4. Step 4: Simplify right side
    585,808x = 633,246,709,824
  5. Step 5: Solve for x
    x = 633,246,709,824/585,808
  6. Step 6: Final answer
    x = 1,080,979.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.