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Finding the Third Proportional to 359,060,625 and 545,830,641

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Solution

The third proportional to 359,060,625 and 545,830,641 is: 829,751,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,060,625 : 545,830,641 = 545,830,641 : x
  2. Step 2: Convert to fraction form
    359,060,625/545,830,641 = 545,830,641/x
  3. Step 3: Cross multiply
    359,060,625x = 545,830,641 × 545,830,641
  4. Step 4: Simplify right side
    359,060,625x = 297,931,088,654,470,912
  5. Step 5: Solve for x
    x = 297,931,088,654,470,912/359,060,625
  6. Step 6: Final answer
    x = 829,751,490.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.