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Finding the Third Proportional to 364,360 and 791,760

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Solution

The third proportional to 364,360 and 791,760 is: 1,720,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,360 : 791,760 = 791,760 : x
  2. Step 2: Convert to fraction form
    364,360/791,760 = 791,760/x
  3. Step 3: Cross multiply
    364,360x = 791,760 × 791,760
  4. Step 4: Simplify right side
    364,360x = 626,883,897,600
  5. Step 5: Solve for x
    x = 626,883,897,600/364,360
  6. Step 6: Final answer
    x = 1,720,506.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.