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Finding the Third Proportional to 369,704 and 788,560

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Solution

The third proportional to 369,704 and 788,560 is: 1,681,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,704 : 788,560 = 788,560 : x
  2. Step 2: Convert to fraction form
    369,704/788,560 = 788,560/x
  3. Step 3: Cross multiply
    369,704x = 788,560 × 788,560
  4. Step 4: Simplify right side
    369,704x = 621,826,873,600
  5. Step 5: Solve for x
    x = 621,826,873,600/369,704
  6. Step 6: Final answer
    x = 1,681,958.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.