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Finding the Third Proportional to 328,814,542 and 715,513,872

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Solution

The third proportional to 328,814,542 and 715,513,872 is: 1,556,987,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,814,542 : 715,513,872 = 715,513,872 : x
  2. Step 2: Convert to fraction form
    328,814,542/715,513,872 = 715,513,872/x
  3. Step 3: Cross multiply
    328,814,542x = 715,513,872 × 715,513,872
  4. Step 4: Simplify right side
    328,814,542x = 511,960,101,024,432,384
  5. Step 5: Solve for x
    x = 511,960,101,024,432,384/328,814,542
  6. Step 6: Final answer
    x = 1,556,987,406.67

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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.