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Finding the Third Proportional to 340,416 and 795,132

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Solution

The third proportional to 340,416 and 795,132 is: 1,857,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,416 : 795,132 = 795,132 : x
  2. Step 2: Convert to fraction form
    340,416/795,132 = 795,132/x
  3. Step 3: Cross multiply
    340,416x = 795,132 × 795,132
  4. Step 4: Simplify right side
    340,416x = 632,234,897,424
  5. Step 5: Solve for x
    x = 632,234,897,424/340,416
  6. Step 6: Final answer
    x = 1,857,242.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.