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Finding the Third Proportional to 358,058 and 772,180

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Solution

The third proportional to 358,058 and 772,180 is: 1,665,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,058 : 772,180 = 772,180 : x
  2. Step 2: Convert to fraction form
    358,058/772,180 = 772,180/x
  3. Step 3: Cross multiply
    358,058x = 772,180 × 772,180
  4. Step 4: Simplify right side
    358,058x = 596,261,952,400
  5. Step 5: Solve for x
    x = 596,261,952,400/358,058
  6. Step 6: Final answer
    x = 1,665,266.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.