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Finding the Third Proportional to 359,843,775 and 552,860,193.75

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Solution

The third proportional to 359,843,775 and 552,860,193.75 is: 849,408,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,843,775 : 552,860,193.75 = 552,860,193.75 : x
  2. Step 2: Convert to fraction form
    359,843,775/552,860,193.75 = 552,860,193.75/x
  3. Step 3: Cross multiply
    359,843,775x = 552,860,193.75 × 552,860,193.75
  4. Step 4: Simplify right side
    359,843,775x = 305,654,393,833,287,552
  5. Step 5: Solve for x
    x = 305,654,393,833,287,552/359,843,775
  6. Step 6: Final answer
    x = 849,408,590.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.