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Finding the Third Proportional to 309,329.51 and 465,967.69

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Solution

The third proportional to 309,329.51 and 465,967.69 is: 701,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,329.51 : 465,967.69 = 465,967.69 : x
  2. Step 2: Convert to fraction form
    309,329.51/465,967.69 = 465,967.69/x
  3. Step 3: Cross multiply
    309,329.51x = 465,967.69 × 465,967.69
  4. Step 4: Simplify right side
    309,329.51x = 217,125,885,794.10
  5. Step 5: Solve for x
    x = 217,125,885,794.10/309,329.51
  6. Step 6: Final answer
    x = 701,924.26

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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.