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Finding the Third Proportional to 338,859 and 730,203.75

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Solution

The third proportional to 338,859 and 730,203.75 is: 1,573,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,859 : 730,203.75 = 730,203.75 : x
  2. Step 2: Convert to fraction form
    338,859/730,203.75 = 730,203.75/x
  3. Step 3: Cross multiply
    338,859x = 730,203.75 × 730,203.75
  4. Step 4: Simplify right side
    338,859x = 533,197,516,514.06
  5. Step 5: Solve for x
    x = 533,197,516,514.06/338,859
  6. Step 6: Final answer
    x = 1,573,508.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.