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Finding the Third Proportional to 328,947 and 702,822

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Solution

The third proportional to 328,947 and 702,822 is: 1,501,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,947 : 702,822 = 702,822 : x
  2. Step 2: Convert to fraction form
    328,947/702,822 = 702,822/x
  3. Step 3: Cross multiply
    328,947x = 702,822 × 702,822
  4. Step 4: Simplify right side
    328,947x = 493,958,763,684
  5. Step 5: Solve for x
    x = 493,958,763,684/328,947
  6. Step 6: Final answer
    x = 1,501,636.32

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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.