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Finding the Third Proportional to 335,308 and 729,548

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Solution

The third proportional to 335,308 and 729,548 is: 1,587,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,308 : 729,548 = 729,548 : x
  2. Step 2: Convert to fraction form
    335,308/729,548 = 729,548/x
  3. Step 3: Cross multiply
    335,308x = 729,548 × 729,548
  4. Step 4: Simplify right side
    335,308x = 532,240,284,304
  5. Step 5: Solve for x
    x = 532,240,284,304/335,308
  6. Step 6: Final answer
    x = 1,587,317.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.