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Finding the Third Proportional to 328,360 and 709,216

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Solution

The third proportional to 328,360 and 709,216 is: 1,531,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,360 : 709,216 = 709,216 : x
  2. Step 2: Convert to fraction form
    328,360/709,216 = 709,216/x
  3. Step 3: Cross multiply
    328,360x = 709,216 × 709,216
  4. Step 4: Simplify right side
    328,360x = 502,987,334,656
  5. Step 5: Solve for x
    x = 502,987,334,656/328,360
  6. Step 6: Final answer
    x = 1,531,816.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.