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Finding the Third Proportional to 368,360 and 803,344

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Solution

The third proportional to 368,360 and 803,344 is: 1,751,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,360 : 803,344 = 803,344 : x
  2. Step 2: Convert to fraction form
    368,360/803,344 = 803,344/x
  3. Step 3: Cross multiply
    368,360x = 803,344 × 803,344
  4. Step 4: Simplify right side
    368,360x = 645,361,582,336
  5. Step 5: Solve for x
    x = 645,361,582,336/368,360
  6. Step 6: Final answer
    x = 1,751,986.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.