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Finding the Third Proportional to 328,293 and 469,455.75

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Solution

The third proportional to 328,293 and 469,455.75 is: 671,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,293 : 469,455.75 = 469,455.75 : x
  2. Step 2: Convert to fraction form
    328,293/469,455.75 = 469,455.75/x
  3. Step 3: Cross multiply
    328,293x = 469,455.75 × 469,455.75
  4. Step 4: Simplify right side
    328,293x = 220,388,701,208.06
  5. Step 5: Solve for x
    x = 220,388,701,208.06/328,293
  6. Step 6: Final answer
    x = 671,317.09

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.