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Finding the Third Proportional to 374,046 and 801,684

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Solution

The third proportional to 374,046 and 801,684 is: 1,718,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,046 : 801,684 = 801,684 : x
  2. Step 2: Convert to fraction form
    374,046/801,684 = 801,684/x
  3. Step 3: Cross multiply
    374,046x = 801,684 × 801,684
  4. Step 4: Simplify right side
    374,046x = 642,697,235,856
  5. Step 5: Solve for x
    x = 642,697,235,856/374,046
  6. Step 6: Final answer
    x = 1,718,230.47

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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.