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Finding the Third Proportional to 326,986 and 705,572

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Solution

The third proportional to 326,986 and 705,572 is: 1,522,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,986 : 705,572 = 705,572 : x
  2. Step 2: Convert to fraction form
    326,986/705,572 = 705,572/x
  3. Step 3: Cross multiply
    326,986x = 705,572 × 705,572
  4. Step 4: Simplify right side
    326,986x = 497,831,847,184
  5. Step 5: Solve for x
    x = 497,831,847,184/326,986
  6. Step 6: Final answer
    x = 1,522,486.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.