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Finding the Third Proportional to 722,111.50 and 1,009,505.50

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Solution

The third proportional to 722,111.50 and 1,009,505.50 is: 1,411,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,111.50 : 1,009,505.50 = 1,009,505.50 : x
  2. Step 2: Convert to fraction form
    722,111.50/1,009,505.50 = 1,009,505.50/x
  3. Step 3: Cross multiply
    722,111.50x = 1,009,505.50 × 1,009,505.50
  4. Step 4: Simplify right side
    722,111.50x = 1,019,101,354,530.25
  5. Step 5: Solve for x
    x = 1,019,101,354,530.25/722,111.50
  6. Step 6: Final answer
    x = 1,411,279.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.