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Finding the Third Proportional to 479,670 and 692,986.50

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Solution

The third proportional to 479,670 and 692,986.50 is: 1,001,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,670 : 692,986.50 = 692,986.50 : x
  2. Step 2: Convert to fraction form
    479,670/692,986.50 = 692,986.50/x
  3. Step 3: Cross multiply
    479,670x = 692,986.50 × 692,986.50
  4. Step 4: Simplify right side
    479,670x = 480,230,289,182.25
  5. Step 5: Solve for x
    x = 480,230,289,182.25/479,670
  6. Step 6: Final answer
    x = 1,001,168.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.