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Finding the Third Proportional to 590,166 and 892,275.75

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Solution

The third proportional to 590,166 and 892,275.75 is: 1,349,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,166 : 892,275.75 = 892,275.75 : x
  2. Step 2: Convert to fraction form
    590,166/892,275.75 = 892,275.75/x
  3. Step 3: Cross multiply
    590,166x = 892,275.75 × 892,275.75
  4. Step 4: Simplify right side
    590,166x = 796,156,014,038.06
  5. Step 5: Solve for x
    x = 796,156,014,038.06/590,166
  6. Step 6: Final answer
    x = 1,349,037.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.