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Finding the Third Proportional to 382,992,397.50 and 606,552,244.50

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Solution

The third proportional to 382,992,397.50 and 606,552,244.50 is: 960,608,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,992,397.50 : 606,552,244.50 = 606,552,244.50 : x
  2. Step 2: Convert to fraction form
    382,992,397.50/606,552,244.50 = 606,552,244.50/x
  3. Step 3: Cross multiply
    382,992,397.50x = 606,552,244.50 × 606,552,244.50
  4. Step 4: Simplify right side
    382,992,397.50x = 367,905,625,307,987,776
  5. Step 5: Solve for x
    x = 367,905,625,307,987,776/382,992,397.50
  6. Step 6: Final answer
    x = 960,608,167.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.