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Finding the Third Proportional to 334,146 and 788,525

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Solution

The third proportional to 334,146 and 788,525 is: 1,860,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,146 : 788,525 = 788,525 : x
  2. Step 2: Convert to fraction form
    334,146/788,525 = 788,525/x
  3. Step 3: Cross multiply
    334,146x = 788,525 × 788,525
  4. Step 4: Simplify right side
    334,146x = 621,771,675,625
  5. Step 5: Solve for x
    x = 621,771,675,625/334,146
  6. Step 6: Final answer
    x = 1,860,778.45

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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.