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Finding the Third Proportional to 334,716 and 737,332

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Solution

The third proportional to 334,716 and 737,332 is: 1,624,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,716 : 737,332 = 737,332 : x
  2. Step 2: Convert to fraction form
    334,716/737,332 = 737,332/x
  3. Step 3: Cross multiply
    334,716x = 737,332 × 737,332
  4. Step 4: Simplify right side
    334,716x = 543,658,478,224
  5. Step 5: Solve for x
    x = 543,658,478,224/334,716
  6. Step 6: Final answer
    x = 1,624,238.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.