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Finding the Third Proportional to 359,843,782.50 and 552,860,197.50

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Solution

The third proportional to 359,843,782.50 and 552,860,197.50 is: 849,408,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,843,782.50 : 552,860,197.50 = 552,860,197.50 : x
  2. Step 2: Convert to fraction form
    359,843,782.50/552,860,197.50 = 552,860,197.50/x
  3. Step 3: Cross multiply
    359,843,782.50x = 552,860,197.50 × 552,860,197.50
  4. Step 4: Simplify right side
    359,843,782.50x = 305,654,397,979,739,008
  5. Step 5: Solve for x
    x = 305,654,397,979,739,008/359,843,782.50
  6. Step 6: Final answer
    x = 849,408,584.63

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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.