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Finding the Third Proportional to 302,700.75 and 456,355.50

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Solution

The third proportional to 302,700.75 and 456,355.50 is: 688,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,700.75 : 456,355.50 = 456,355.50 : x
  2. Step 2: Convert to fraction form
    302,700.75/456,355.50 = 456,355.50/x
  3. Step 3: Cross multiply
    302,700.75x = 456,355.50 × 456,355.50
  4. Step 4: Simplify right side
    302,700.75x = 208,260,342,380.25
  5. Step 5: Solve for x
    x = 208,260,342,380.25/302,700.75
  6. Step 6: Final answer
    x = 688,007.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.