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Finding the Third Proportional to 295,740.75 and 641,307

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Solution

The third proportional to 295,740.75 and 641,307 is: 1,390,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,740.75 : 641,307 = 641,307 : x
  2. Step 2: Convert to fraction form
    295,740.75/641,307 = 641,307/x
  3. Step 3: Cross multiply
    295,740.75x = 641,307 × 641,307
  4. Step 4: Simplify right side
    295,740.75x = 411,274,668,249
  5. Step 5: Solve for x
    x = 411,274,668,249/295,740.75
  6. Step 6: Final answer
    x = 1,390,659.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.