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Finding the Third Proportional to 306,855,273.75 and 673,119,309

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Solution

The third proportional to 306,855,273.75 and 673,119,309 is: 1,476,557,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,855,273.75 : 673,119,309 = 673,119,309 : x
  2. Step 2: Convert to fraction form
    306,855,273.75/673,119,309 = 673,119,309/x
  3. Step 3: Cross multiply
    306,855,273.75x = 673,119,309 × 673,119,309
  4. Step 4: Simplify right side
    306,855,273.75x = 453,089,604,148,637,504
  5. Step 5: Solve for x
    x = 453,089,604,148,637,504/306,855,273.75
  6. Step 6: Final answer
    x = 1,476,557,983.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.