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Finding the Third Proportional to 454,946 and 713,614

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Solution

The third proportional to 454,946 and 713,614 is: 1,119,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,946 : 713,614 = 713,614 : x
  2. Step 2: Convert to fraction form
    454,946/713,614 = 713,614/x
  3. Step 3: Cross multiply
    454,946x = 713,614 × 713,614
  4. Step 4: Simplify right side
    454,946x = 509,244,940,996
  5. Step 5: Solve for x
    x = 509,244,940,996/454,946
  6. Step 6: Final answer
    x = 1,119,352.50

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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.