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Finding the Third Proportional to 505,143 and 799,726.50

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Solution

The third proportional to 505,143 and 799,726.50 is: 1,266,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,143 : 799,726.50 = 799,726.50 : x
  2. Step 2: Convert to fraction form
    505,143/799,726.50 = 799,726.50/x
  3. Step 3: Cross multiply
    505,143x = 799,726.50 × 799,726.50
  4. Step 4: Simplify right side
    505,143x = 639,562,474,802.25
  5. Step 5: Solve for x
    x = 639,562,474,802.25/505,143
  6. Step 6: Final answer
    x = 1,266,101.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.