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Finding the Third Proportional to 479,908 and 745,014

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Solution

The third proportional to 479,908 and 745,014 is: 1,156,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,908 : 745,014 = 745,014 : x
  2. Step 2: Convert to fraction form
    479,908/745,014 = 745,014/x
  3. Step 3: Cross multiply
    479,908x = 745,014 × 745,014
  4. Step 4: Simplify right side
    479,908x = 555,045,860,196
  5. Step 5: Solve for x
    x = 555,045,860,196/479,908
  6. Step 6: Final answer
    x = 1,156,567.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.