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Finding the Third Proportional to 723,967 and 952,030.50

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Solution

The third proportional to 723,967 and 952,030.50 is: 1,251,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,967 : 952,030.50 = 952,030.50 : x
  2. Step 2: Convert to fraction form
    723,967/952,030.50 = 952,030.50/x
  3. Step 3: Cross multiply
    723,967x = 952,030.50 × 952,030.50
  4. Step 4: Simplify right side
    723,967x = 906,362,072,930.25
  5. Step 5: Solve for x
    x = 906,362,072,930.25/723,967
  6. Step 6: Final answer
    x = 1,251,938.38

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.