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Finding the Third Proportional to 338,322 and 729,533

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Solution

The third proportional to 338,322 and 729,533 is: 1,573,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,322 : 729,533 = 729,533 : x
  2. Step 2: Convert to fraction form
    338,322/729,533 = 729,533/x
  3. Step 3: Cross multiply
    338,322x = 729,533 × 729,533
  4. Step 4: Simplify right side
    338,322x = 532,218,398,089
  5. Step 5: Solve for x
    x = 532,218,398,089/338,322
  6. Step 6: Final answer
    x = 1,573,112.00

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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.