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Finding the Third Proportional to 328,216 and 703,088

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Solution

The third proportional to 328,216 and 703,088 is: 1,506,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,216 : 703,088 = 703,088 : x
  2. Step 2: Convert to fraction form
    328,216/703,088 = 703,088/x
  3. Step 3: Cross multiply
    328,216x = 703,088 × 703,088
  4. Step 4: Simplify right side
    328,216x = 494,332,735,744
  5. Step 5: Solve for x
    x = 494,332,735,744/328,216
  6. Step 6: Final answer
    x = 1,506,120.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.