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Finding the Third Proportional to 370,516 and 797,206

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Solution

The third proportional to 370,516 and 797,206 is: 1,715,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,516 : 797,206 = 797,206 : x
  2. Step 2: Convert to fraction form
    370,516/797,206 = 797,206/x
  3. Step 3: Cross multiply
    370,516x = 797,206 × 797,206
  4. Step 4: Simplify right side
    370,516x = 635,537,406,436
  5. Step 5: Solve for x
    x = 635,537,406,436/370,516
  6. Step 6: Final answer
    x = 1,715,276.55

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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.