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Finding the Third Proportional to 586,929.75 and 892,727.25

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Solution

The third proportional to 586,929.75 and 892,727.25 is: 1,357,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,929.75 : 892,727.25 = 892,727.25 : x
  2. Step 2: Convert to fraction form
    586,929.75/892,727.25 = 892,727.25/x
  3. Step 3: Cross multiply
    586,929.75x = 892,727.25 × 892,727.25
  4. Step 4: Simplify right side
    586,929.75x = 796,961,942,892.56
  5. Step 5: Solve for x
    x = 796,961,942,892.56/586,929.75
  6. Step 6: Final answer
    x = 1,357,848.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.