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Finding the Third Proportional to 515,064.56 and 757,180.88

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Solution

The third proportional to 515,064.56 and 757,180.88 is: 1,113,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,064.56 : 757,180.88 = 757,180.88 : x
  2. Step 2: Convert to fraction form
    515,064.56/757,180.88 = 757,180.88/x
  3. Step 3: Cross multiply
    515,064.56x = 757,180.88 × 757,180.88
  4. Step 4: Simplify right side
    515,064.56x = 573,322,877,465.77
  5. Step 5: Solve for x
    x = 573,322,877,465.77/515,064.56
  6. Step 6: Final answer
    x = 1,113,108.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.