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Finding the Third Proportional to 368,480 and 805,697

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Solution

The third proportional to 368,480 and 805,697 is: 1,761,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,480 : 805,697 = 805,697 : x
  2. Step 2: Convert to fraction form
    368,480/805,697 = 805,697/x
  3. Step 3: Cross multiply
    368,480x = 805,697 × 805,697
  4. Step 4: Simplify right side
    368,480x = 649,147,655,809
  5. Step 5: Solve for x
    x = 649,147,655,809/368,480
  6. Step 6: Final answer
    x = 1,761,690.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.