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Finding the Third Proportional to 369,465 and 796,617

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Solution

The third proportional to 369,465 and 796,617 is: 1,717,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,465 : 796,617 = 796,617 : x
  2. Step 2: Convert to fraction form
    369,465/796,617 = 796,617/x
  3. Step 3: Cross multiply
    369,465x = 796,617 × 796,617
  4. Step 4: Simplify right side
    369,465x = 634,598,644,689
  5. Step 5: Solve for x
    x = 634,598,644,689/369,465
  6. Step 6: Final answer
    x = 1,717,615.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.