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Finding the Third Proportional to 324,514,570 and 765,288,685

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Solution

The third proportional to 324,514,570 and 765,288,685 is: 1,804,747,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,514,570 : 765,288,685 = 765,288,685 : x
  2. Step 2: Convert to fraction form
    324,514,570/765,288,685 = 765,288,685/x
  3. Step 3: Cross multiply
    324,514,570x = 765,288,685 × 765,288,685
  4. Step 4: Simplify right side
    324,514,570x = 585,666,771,389,029,248
  5. Step 5: Solve for x
    x = 585,666,771,389,029,248/324,514,570
  6. Step 6: Final answer
    x = 1,804,747,230.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.