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Finding the Third Proportional to 334,424 and 714,208

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Solution

The third proportional to 334,424 and 714,208 is: 1,525,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,424 : 714,208 = 714,208 : x
  2. Step 2: Convert to fraction form
    334,424/714,208 = 714,208/x
  3. Step 3: Cross multiply
    334,424x = 714,208 × 714,208
  4. Step 4: Simplify right side
    334,424x = 510,093,067,264
  5. Step 5: Solve for x
    x = 510,093,067,264/334,424
  6. Step 6: Final answer
    x = 1,525,288.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.