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Finding the Third Proportional to 450,974 and 713,566

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Solution

The third proportional to 450,974 and 713,566 is: 1,129,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,974 : 713,566 = 713,566 : x
  2. Step 2: Convert to fraction form
    450,974/713,566 = 713,566/x
  3. Step 3: Cross multiply
    450,974x = 713,566 × 713,566
  4. Step 4: Simplify right side
    450,974x = 509,176,436,356
  5. Step 5: Solve for x
    x = 509,176,436,356/450,974
  6. Step 6: Final answer
    x = 1,129,059.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.