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Finding the Third Proportional to 314,280 and 486,535.50

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Solution

The third proportional to 314,280 and 486,535.50 is: 753,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,280 : 486,535.50 = 486,535.50 : x
  2. Step 2: Convert to fraction form
    314,280/486,535.50 = 486,535.50/x
  3. Step 3: Cross multiply
    314,280x = 486,535.50 × 486,535.50
  4. Step 4: Simplify right side
    314,280x = 236,716,792,760.25
  5. Step 5: Solve for x
    x = 236,716,792,760.25/314,280
  6. Step 6: Final answer
    x = 753,203.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.