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Finding the Third Proportional to 559,989 and 757,039.50

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Solution

The third proportional to 559,989 and 757,039.50 is: 1,023,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,989 : 757,039.50 = 757,039.50 : x
  2. Step 2: Convert to fraction form
    559,989/757,039.50 = 757,039.50/x
  3. Step 3: Cross multiply
    559,989x = 757,039.50 × 757,039.50
  4. Step 4: Simplify right side
    559,989x = 573,108,804,560.25
  5. Step 5: Solve for x
    x = 573,108,804,560.25/559,989
  6. Step 6: Final answer
    x = 1,023,428.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.