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Finding the Third Proportional to 370,260 and 798,102

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Solution

The third proportional to 370,260 and 798,102 is: 1,720,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,260 : 798,102 = 798,102 : x
  2. Step 2: Convert to fraction form
    370,260/798,102 = 798,102/x
  3. Step 3: Cross multiply
    370,260x = 798,102 × 798,102
  4. Step 4: Simplify right side
    370,260x = 636,966,802,404
  5. Step 5: Solve for x
    x = 636,966,802,404/370,260
  6. Step 6: Final answer
    x = 1,720,323.02

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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.