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Finding the Third Proportional to 454,976 and 713,658

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Solution

The third proportional to 454,976 and 713,658 is: 1,119,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,976 : 713,658 = 713,658 : x
  2. Step 2: Convert to fraction form
    454,976/713,658 = 713,658/x
  3. Step 3: Cross multiply
    454,976x = 713,658 × 713,658
  4. Step 4: Simplify right side
    454,976x = 509,307,740,964
  5. Step 5: Solve for x
    x = 509,307,740,964/454,976
  6. Step 6: Final answer
    x = 1,119,416.72

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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.