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Finding the Third Proportional to 497,281.50 and 764,799.75

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Solution

The third proportional to 497,281.50 and 764,799.75 is: 1,176,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,281.50 : 764,799.75 = 764,799.75 : x
  2. Step 2: Convert to fraction form
    497,281.50/764,799.75 = 764,799.75/x
  3. Step 3: Cross multiply
    497,281.50x = 764,799.75 × 764,799.75
  4. Step 4: Simplify right side
    497,281.50x = 584,918,657,600.06
  5. Step 5: Solve for x
    x = 584,918,657,600.06/497,281.50
  6. Step 6: Final answer
    x = 1,176,232.49

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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.