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Finding the Third Proportional to 454,875 and 712,168.50

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Solution

The third proportional to 454,875 and 712,168.50 is: 1,114,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,875 : 712,168.50 = 712,168.50 : x
  2. Step 2: Convert to fraction form
    454,875/712,168.50 = 712,168.50/x
  3. Step 3: Cross multiply
    454,875x = 712,168.50 × 712,168.50
  4. Step 4: Simplify right side
    454,875x = 507,183,972,392.25
  5. Step 5: Solve for x
    x = 507,183,972,392.25/454,875
  6. Step 6: Final answer
    x = 1,114,996.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.