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Finding the Third Proportional to 497,400.12 and 1,065,712.57

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Solution

The third proportional to 497,400.12 and 1,065,712.57 is: 2,283,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,400.12 : 1,065,712.57 = 1,065,712.57 : x
  2. Step 2: Convert to fraction form
    497,400.12/1,065,712.57 = 1,065,712.57/x
  3. Step 3: Cross multiply
    497,400.12x = 1,065,712.57 × 1,065,712.57
  4. Step 4: Simplify right side
    497,400.12x = 1,135,743,282,522.08
  5. Step 5: Solve for x
    x = 1,135,743,282,522.08/497,400.12
  6. Step 6: Final answer
    x = 2,283,359.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.