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Finding the Third Proportional to 454,879.88 and 713,484.56

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Solution

The third proportional to 454,879.88 and 713,484.56 is: 1,119,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,879.88 : 713,484.56 = 713,484.56 : x
  2. Step 2: Convert to fraction form
    454,879.88/713,484.56 = 713,484.56/x
  3. Step 3: Cross multiply
    454,879.88x = 713,484.56 × 713,484.56
  4. Step 4: Simplify right side
    454,879.88x = 509,060,220,925.82
  5. Step 5: Solve for x
    x = 509,060,220,925.82/454,879.88
  6. Step 6: Final answer
    x = 1,119,109.13

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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.