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Finding the Third Proportional to 454,884 and 713,490

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Solution

The third proportional to 454,884 and 713,490 is: 1,119,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,884 : 713,490 = 713,490 : x
  2. Step 2: Convert to fraction form
    454,884/713,490 = 713,490/x
  3. Step 3: Cross multiply
    454,884x = 713,490 × 713,490
  4. Step 4: Simplify right side
    454,884x = 509,067,980,100
  5. Step 5: Solve for x
    x = 509,067,980,100/454,884
  6. Step 6: Final answer
    x = 1,119,116.04

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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.