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Finding the Third Proportional to 497,264.25 and 764,774.25

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Solution

The third proportional to 497,264.25 and 764,774.25 is: 1,176,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,264.25 : 764,774.25 = 764,774.25 : x
  2. Step 2: Convert to fraction form
    497,264.25/764,774.25 = 764,774.25/x
  3. Step 3: Cross multiply
    497,264.25x = 764,774.25 × 764,774.25
  4. Step 4: Simplify right side
    497,264.25x = 584,879,653,463.06
  5. Step 5: Solve for x
    x = 584,879,653,463.06/497,264.25
  6. Step 6: Final answer
    x = 1,176,194.86

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Why These Related Problems?

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