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Finding the Third Proportional to 499,761 and 712,258.50

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Solution

The third proportional to 499,761 and 712,258.50 is: 1,015,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,761 : 712,258.50 = 712,258.50 : x
  2. Step 2: Convert to fraction form
    499,761/712,258.50 = 712,258.50/x
  3. Step 3: Cross multiply
    499,761x = 712,258.50 × 712,258.50
  4. Step 4: Simplify right side
    499,761x = 507,312,170,822.25
  5. Step 5: Solve for x
    x = 507,312,170,822.25/499,761
  6. Step 6: Final answer
    x = 1,015,109.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.