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Finding the Third Proportional to 326,706 and 693,066

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Solution

The third proportional to 326,706 and 693,066 is: 1,470,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,706 : 693,066 = 693,066 : x
  2. Step 2: Convert to fraction form
    326,706/693,066 = 693,066/x
  3. Step 3: Cross multiply
    326,706x = 693,066 × 693,066
  4. Step 4: Simplify right side
    326,706x = 480,340,480,356
  5. Step 5: Solve for x
    x = 480,340,480,356/326,706
  6. Step 6: Final answer
    x = 1,470,253.01

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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.