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Finding the Third Proportional to 454,801.50 and 696,064.50

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Solution

The third proportional to 454,801.50 and 696,064.50 is: 1,065,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,801.50 : 696,064.50 = 696,064.50 : x
  2. Step 2: Convert to fraction form
    454,801.50/696,064.50 = 696,064.50/x
  3. Step 3: Cross multiply
    454,801.50x = 696,064.50 × 696,064.50
  4. Step 4: Simplify right side
    454,801.50x = 484,505,788,160.25
  5. Step 5: Solve for x
    x = 484,505,788,160.25/454,801.50
  6. Step 6: Final answer
    x = 1,065,312.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.