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Finding the Third Proportional to 328,814,536 and 715,513,860

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Solution

The third proportional to 328,814,536 and 715,513,860 is: 1,556,987,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,814,536 : 715,513,860 = 715,513,860 : x
  2. Step 2: Convert to fraction form
    328,814,536/715,513,860 = 715,513,860/x
  3. Step 3: Cross multiply
    328,814,536x = 715,513,860 × 715,513,860
  4. Step 4: Simplify right side
    328,814,536x = 511,960,083,852,099,584
  5. Step 5: Solve for x
    x = 511,960,083,852,099,584/328,814,536
  6. Step 6: Final answer
    x = 1,556,987,382.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.