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Finding the Third Proportional to 538,676,235 and 758,244,278.50

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Solution

The third proportional to 538,676,235 and 758,244,278.50 is: 1,067,309,728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,676,235 : 758,244,278.50 = 758,244,278.50 : x
  2. Step 2: Convert to fraction form
    538,676,235/758,244,278.50 = 758,244,278.50/x
  3. Step 3: Cross multiply
    538,676,235x = 758,244,278.50 × 758,244,278.50
  4. Step 4: Simplify right side
    538,676,235x = 574,934,385,877,985,536
  5. Step 5: Solve for x
    x = 574,934,385,877,985,536/538,676,235
  6. Step 6: Final answer
    x = 1,067,309,728.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.