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Finding the Third Proportional to 338,058 and 526,466.25

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Solution

The third proportional to 338,058 and 526,466.25 is: 819,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,058 : 526,466.25 = 526,466.25 : x
  2. Step 2: Convert to fraction form
    338,058/526,466.25 = 526,466.25/x
  3. Step 3: Cross multiply
    338,058x = 526,466.25 × 526,466.25
  4. Step 4: Simplify right side
    338,058x = 277,166,712,389.06
  5. Step 5: Solve for x
    x = 277,166,712,389.06/338,058
  6. Step 6: Final answer
    x = 819,879.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.