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Finding the Third Proportional to 368,370 and 805,214

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Solution

The third proportional to 368,370 and 805,214 is: 1,760,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,370 : 805,214 = 805,214 : x
  2. Step 2: Convert to fraction form
    368,370/805,214 = 805,214/x
  3. Step 3: Cross multiply
    368,370x = 805,214 × 805,214
  4. Step 4: Simplify right side
    368,370x = 648,369,585,796
  5. Step 5: Solve for x
    x = 648,369,585,796/368,370
  6. Step 6: Final answer
    x = 1,760,104.20

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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.