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Finding the Third Proportional to 334,307 and 729,580

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Solution

The third proportional to 334,307 and 729,580 is: 1,592,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,307 : 729,580 = 729,580 : x
  2. Step 2: Convert to fraction form
    334,307/729,580 = 729,580/x
  3. Step 3: Cross multiply
    334,307x = 729,580 × 729,580
  4. Step 4: Simplify right side
    334,307x = 532,286,976,400
  5. Step 5: Solve for x
    x = 532,286,976,400/334,307
  6. Step 6: Final answer
    x = 1,592,210.08

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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.