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Finding the Third Proportional to 454,616 and 713,164

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Solution

The third proportional to 454,616 and 713,164 is: 1,118,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,616 : 713,164 = 713,164 : x
  2. Step 2: Convert to fraction form
    454,616/713,164 = 713,164/x
  3. Step 3: Cross multiply
    454,616x = 713,164 × 713,164
  4. Step 4: Simplify right side
    454,616x = 508,602,890,896
  5. Step 5: Solve for x
    x = 508,602,890,896/454,616
  6. Step 6: Final answer
    x = 1,118,752.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.