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Finding the Third Proportional to 326,047 and 691,346

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Solution

The third proportional to 326,047 and 691,346 is: 1,465,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,047 : 691,346 = 691,346 : x
  2. Step 2: Convert to fraction form
    326,047/691,346 = 691,346/x
  3. Step 3: Cross multiply
    326,047x = 691,346 × 691,346
  4. Step 4: Simplify right side
    326,047x = 477,959,291,716
  5. Step 5: Solve for x
    x = 477,959,291,716/326,047
  6. Step 6: Final answer
    x = 1,465,921.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.