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Finding the Third Proportional to 346,362.75 and 541,414.13

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Solution

The third proportional to 346,362.75 and 541,414.13 is: 846,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,362.75 : 541,414.13 = 541,414.13 : x
  2. Step 2: Convert to fraction form
    346,362.75/541,414.13 = 541,414.13/x
  3. Step 3: Cross multiply
    346,362.75x = 541,414.13 × 541,414.13
  4. Step 4: Simplify right side
    346,362.75x = 293,129,254,749.52
  5. Step 5: Solve for x
    x = 293,129,254,749.52/346,362.75
  6. Step 6: Final answer
    x = 846,307.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.