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Finding the Third Proportional to 623,468.25 and 1,004,053.50

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Solution

The third proportional to 623,468.25 and 1,004,053.50 is: 1,616,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,468.25 : 1,004,053.50 = 1,004,053.50 : x
  2. Step 2: Convert to fraction form
    623,468.25/1,004,053.50 = 1,004,053.50/x
  3. Step 3: Cross multiply
    623,468.25x = 1,004,053.50 × 1,004,053.50
  4. Step 4: Simplify right side
    623,468.25x = 1,008,123,430,862.25
  5. Step 5: Solve for x
    x = 1,008,123,430,862.25/623,468.25
  6. Step 6: Final answer
    x = 1,616,960.34

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.