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Finding the Third Proportional to 334,371 and 513,220.50

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Solution

The third proportional to 334,371 and 513,220.50 is: 787,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,371 : 513,220.50 = 513,220.50 : x
  2. Step 2: Convert to fraction form
    334,371/513,220.50 = 513,220.50/x
  3. Step 3: Cross multiply
    334,371x = 513,220.50 × 513,220.50
  4. Step 4: Simplify right side
    334,371x = 263,395,281,620.25
  5. Step 5: Solve for x
    x = 263,395,281,620.25/334,371
  6. Step 6: Final answer
    x = 787,733.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.