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Finding the Third Proportional to 497,051 and 764,952.50

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Solution

The third proportional to 497,051 and 764,952.50 is: 1,177,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,051 : 764,952.50 = 764,952.50 : x
  2. Step 2: Convert to fraction form
    497,051/764,952.50 = 764,952.50/x
  3. Step 3: Cross multiply
    497,051x = 764,952.50 × 764,952.50
  4. Step 4: Simplify right side
    497,051x = 585,152,327,256.25
  5. Step 5: Solve for x
    x = 585,152,327,256.25/497,051
  6. Step 6: Final answer
    x = 1,177,248.06

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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.