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Finding the Third Proportional to 426,437,343 and 644,904,814.50

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Solution

The third proportional to 426,437,343 and 644,904,814.50 is: 975,295,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,437,343 : 644,904,814.50 = 644,904,814.50 : x
  2. Step 2: Convert to fraction form
    426,437,343/644,904,814.50 = 644,904,814.50/x
  3. Step 3: Cross multiply
    426,437,343x = 644,904,814.50 × 644,904,814.50
  4. Step 4: Simplify right side
    426,437,343x = 415,902,219,765,279,424
  5. Step 5: Solve for x
    x = 415,902,219,765,279,424/426,437,343
  6. Step 6: Final answer
    x = 975,295,026.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.