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Finding the Third Proportional to 454,882 and 713,488

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Solution

The third proportional to 454,882 and 713,488 is: 1,119,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,882 : 713,488 = 713,488 : x
  2. Step 2: Convert to fraction form
    454,882/713,488 = 713,488/x
  3. Step 3: Cross multiply
    454,882x = 713,488 × 713,488
  4. Step 4: Simplify right side
    454,882x = 509,065,126,144
  5. Step 5: Solve for x
    x = 509,065,126,144/454,882
  6. Step 6: Final answer
    x = 1,119,114.69

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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.