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Finding the Third Proportional to 334,434 and 714,224

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Solution

The third proportional to 334,434 and 714,224 is: 1,525,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,434 : 714,224 = 714,224 : x
  2. Step 2: Convert to fraction form
    334,434/714,224 = 714,224/x
  3. Step 3: Cross multiply
    334,434x = 714,224 × 714,224
  4. Step 4: Simplify right side
    334,434x = 510,115,922,176
  5. Step 5: Solve for x
    x = 510,115,922,176/334,434
  6. Step 6: Final answer
    x = 1,525,311.19

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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.