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Finding the Third Proportional to 372,402 and 797,290

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Solution

The third proportional to 372,402 and 797,290 is: 1,706,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,402 : 797,290 = 797,290 : x
  2. Step 2: Convert to fraction form
    372,402/797,290 = 797,290/x
  3. Step 3: Cross multiply
    372,402x = 797,290 × 797,290
  4. Step 4: Simplify right side
    372,402x = 635,671,344,100
  5. Step 5: Solve for x
    x = 635,671,344,100/372,402
  6. Step 6: Final answer
    x = 1,706,949.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.