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Finding the Third Proportional to 327,534 and 716,166

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Solution

The third proportional to 327,534 and 716,166 is: 1,565,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,534 : 716,166 = 716,166 : x
  2. Step 2: Convert to fraction form
    327,534/716,166 = 716,166/x
  3. Step 3: Cross multiply
    327,534x = 716,166 × 716,166
  4. Step 4: Simplify right side
    327,534x = 512,893,739,556
  5. Step 5: Solve for x
    x = 512,893,739,556/327,534
  6. Step 6: Final answer
    x = 1,565,925.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.