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Finding the Third Proportional to 334,152 and 788,540

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Solution

The third proportional to 334,152 and 788,540 is: 1,860,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,152 : 788,540 = 788,540 : x
  2. Step 2: Convert to fraction form
    334,152/788,540 = 788,540/x
  3. Step 3: Cross multiply
    334,152x = 788,540 × 788,540
  4. Step 4: Simplify right side
    334,152x = 621,795,331,600
  5. Step 5: Solve for x
    x = 621,795,331,600/334,152
  6. Step 6: Final answer
    x = 1,860,815.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.