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Finding the Third Proportional to 413,616 and 623,880

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Solution

The third proportional to 413,616 and 623,880 is: 941,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,616 : 623,880 = 623,880 : x
  2. Step 2: Convert to fraction form
    413,616/623,880 = 623,880/x
  3. Step 3: Cross multiply
    413,616x = 623,880 × 623,880
  4. Step 4: Simplify right side
    413,616x = 389,226,254,400
  5. Step 5: Solve for x
    x = 389,226,254,400/413,616
  6. Step 6: Final answer
    x = 941,032.88

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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.