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Finding the Third Proportional to 723,577.50 and 1,063,687.50

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Solution

The third proportional to 723,577.50 and 1,063,687.50 is: 1,563,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,577.50 : 1,063,687.50 = 1,063,687.50 : x
  2. Step 2: Convert to fraction form
    723,577.50/1,063,687.50 = 1,063,687.50/x
  3. Step 3: Cross multiply
    723,577.50x = 1,063,687.50 × 1,063,687.50
  4. Step 4: Simplify right side
    723,577.50x = 1,131,431,097,656.25
  5. Step 5: Solve for x
    x = 1,131,431,097,656.25/723,577.50
  6. Step 6: Final answer
    x = 1,563,662.63

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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.