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Finding the Third Proportional to 523,368.50 and 805,572.75

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Solution

The third proportional to 523,368.50 and 805,572.75 is: 1,239,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,368.50 : 805,572.75 = 805,572.75 : x
  2. Step 2: Convert to fraction form
    523,368.50/805,572.75 = 805,572.75/x
  3. Step 3: Cross multiply
    523,368.50x = 805,572.75 × 805,572.75
  4. Step 4: Simplify right side
    523,368.50x = 648,947,455,542.56
  5. Step 5: Solve for x
    x = 648,947,455,542.56/523,368.50
  6. Step 6: Final answer
    x = 1,239,943.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.