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Finding the Third Proportional to 359,415,972 and 513,614,790

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Solution

The third proportional to 359,415,972 and 513,614,790 is: 733,968,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,415,972 : 513,614,790 = 513,614,790 : x
  2. Step 2: Convert to fraction form
    359,415,972/513,614,790 = 513,614,790/x
  3. Step 3: Cross multiply
    359,415,972x = 513,614,790 × 513,614,790
  4. Step 4: Simplify right side
    359,415,972x = 263,800,152,506,744,096
  5. Step 5: Solve for x
    x = 263,800,152,506,744,096/359,415,972
  6. Step 6: Final answer
    x = 733,968,919.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.