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Finding the Third Proportional to 326,718 and 693,090

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Solution

The third proportional to 326,718 and 693,090 is: 1,470,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,718 : 693,090 = 693,090 : x
  2. Step 2: Convert to fraction form
    326,718/693,090 = 693,090/x
  3. Step 3: Cross multiply
    326,718x = 693,090 × 693,090
  4. Step 4: Simplify right side
    326,718x = 480,373,748,100
  5. Step 5: Solve for x
    x = 480,373,748,100/326,718
  6. Step 6: Final answer
    x = 1,470,300.83

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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.