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Finding the Third Proportional to 497,041.50 and 1,072,584

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Solution

The third proportional to 497,041.50 and 1,072,584 is: 2,314,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,041.50 : 1,072,584 = 1,072,584 : x
  2. Step 2: Convert to fraction form
    497,041.50/1,072,584 = 1,072,584/x
  3. Step 3: Cross multiply
    497,041.50x = 1,072,584 × 1,072,584
  4. Step 4: Simplify right side
    497,041.50x = 1,150,436,437,056
  5. Step 5: Solve for x
    x = 1,150,436,437,056/497,041.50
  6. Step 6: Final answer
    x = 2,314,568.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.