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Finding the Third Proportional to 334,440 and 721,125

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Solution

The third proportional to 334,440 and 721,125 is: 1,554,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,440 : 721,125 = 721,125 : x
  2. Step 2: Convert to fraction form
    334,440/721,125 = 721,125/x
  3. Step 3: Cross multiply
    334,440x = 721,125 × 721,125
  4. Step 4: Simplify right side
    334,440x = 520,021,265,625
  5. Step 5: Solve for x
    x = 520,021,265,625/334,440
  6. Step 6: Final answer
    x = 1,554,901.52

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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.