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Finding the Third Proportional to 334,385 and 722,071

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Solution

The third proportional to 334,385 and 722,071 is: 1,559,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,385 : 722,071 = 722,071 : x
  2. Step 2: Convert to fraction form
    334,385/722,071 = 722,071/x
  3. Step 3: Cross multiply
    334,385x = 722,071 × 722,071
  4. Step 4: Simplify right side
    334,385x = 521,386,529,041
  5. Step 5: Solve for x
    x = 521,386,529,041/334,385
  6. Step 6: Final answer
    x = 1,559,240.18

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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.