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Finding the Third Proportional to 270,568,681.50 and 579,401,070

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Solution

The third proportional to 270,568,681.50 and 579,401,070 is: 1,240,740,791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,568,681.50 : 579,401,070 = 579,401,070 : x
  2. Step 2: Convert to fraction form
    270,568,681.50/579,401,070 = 579,401,070/x
  3. Step 3: Cross multiply
    270,568,681.50x = 579,401,070 × 579,401,070
  4. Step 4: Simplify right side
    270,568,681.50x = 335,705,599,917,144,896
  5. Step 5: Solve for x
    x = 335,705,599,917,144,896/270,568,681.50
  6. Step 6: Final answer
    x = 1,240,740,791.05

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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.