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Finding the Third Proportional to 325,543 and 497,697

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Solution

The third proportional to 325,543 and 497,697 is: 760,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,543 : 497,697 = 497,697 : x
  2. Step 2: Convert to fraction form
    325,543/497,697 = 497,697/x
  3. Step 3: Cross multiply
    325,543x = 497,697 × 497,697
  4. Step 4: Simplify right side
    325,543x = 247,702,303,809
  5. Step 5: Solve for x
    x = 247,702,303,809/325,543
  6. Step 6: Final answer
    x = 760,889.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.