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Finding the Third Proportional to 393,210 and 593,082

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Solution

The third proportional to 393,210 and 593,082 is: 894,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,210 : 593,082 = 593,082 : x
  2. Step 2: Convert to fraction form
    393,210/593,082 = 593,082/x
  3. Step 3: Cross multiply
    393,210x = 593,082 × 593,082
  4. Step 4: Simplify right side
    393,210x = 351,746,258,724
  5. Step 5: Solve for x
    x = 351,746,258,724/393,210
  6. Step 6: Final answer
    x = 894,550.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.