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Finding the Third Proportional to 369,850 and 796,670

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Solution

The third proportional to 369,850 and 796,670 is: 1,716,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,850 : 796,670 = 796,670 : x
  2. Step 2: Convert to fraction form
    369,850/796,670 = 796,670/x
  3. Step 3: Cross multiply
    369,850x = 796,670 × 796,670
  4. Step 4: Simplify right side
    369,850x = 634,683,088,900
  5. Step 5: Solve for x
    x = 634,683,088,900/369,850
  6. Step 6: Final answer
    x = 1,716,055.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.