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Finding the Third Proportional to 370,532 and 798,223

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Solution

The third proportional to 370,532 and 798,223 is: 1,719,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,532 : 798,223 = 798,223 : x
  2. Step 2: Convert to fraction form
    370,532/798,223 = 798,223/x
  3. Step 3: Cross multiply
    370,532x = 798,223 × 798,223
  4. Step 4: Simplify right side
    370,532x = 637,159,957,729
  5. Step 5: Solve for x
    x = 637,159,957,729/370,532
  6. Step 6: Final answer
    x = 1,719,581.46

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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.