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Finding the Third Proportional to 291,525,239 and 447,031,578

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Solution

The third proportional to 291,525,239 and 447,031,578 is: 685,488,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,525,239 : 447,031,578 = 447,031,578 : x
  2. Step 2: Convert to fraction form
    291,525,239/447,031,578 = 447,031,578/x
  3. Step 3: Cross multiply
    291,525,239x = 447,031,578 × 447,031,578
  4. Step 4: Simplify right side
    291,525,239x = 199,837,231,729,170,080
  5. Step 5: Solve for x
    x = 199,837,231,729,170,080/291,525,239
  6. Step 6: Final answer
    x = 685,488,612.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.