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Finding the Third Proportional to 346,191 and 781,275

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Solution

The third proportional to 346,191 and 781,275 is: 1,763,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,191 : 781,275 = 781,275 : x
  2. Step 2: Convert to fraction form
    346,191/781,275 = 781,275/x
  3. Step 3: Cross multiply
    346,191x = 781,275 × 781,275
  4. Step 4: Simplify right side
    346,191x = 610,390,625,625
  5. Step 5: Solve for x
    x = 610,390,625,625/346,191
  6. Step 6: Final answer
    x = 1,763,161.45

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.