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Finding the Third Proportional to 450,130.50 and 696,762

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Solution

The third proportional to 450,130.50 and 696,762 is: 1,078,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,130.50 : 696,762 = 696,762 : x
  2. Step 2: Convert to fraction form
    450,130.50/696,762 = 696,762/x
  3. Step 3: Cross multiply
    450,130.50x = 696,762 × 696,762
  4. Step 4: Simplify right side
    450,130.50x = 485,477,284,644
  5. Step 5: Solve for x
    x = 485,477,284,644/450,130.50
  6. Step 6: Final answer
    x = 1,078,525.64

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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.