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Finding the Third Proportional to 529,644,015 and 727,056,634.50

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Solution

The third proportional to 529,644,015 and 727,056,634.50 is: 998,050,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,644,015 : 727,056,634.50 = 727,056,634.50 : x
  2. Step 2: Convert to fraction form
    529,644,015/727,056,634.50 = 727,056,634.50/x
  3. Step 3: Cross multiply
    529,644,015x = 727,056,634.50 × 727,056,634.50
  4. Step 4: Simplify right side
    529,644,015x = 528,611,349,770,466,560
  5. Step 5: Solve for x
    x = 528,611,349,770,466,560/529,644,015
  6. Step 6: Final answer
    x = 998,050,265.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.