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Finding the Third Proportional to 479,786 and 717,039

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Solution

The third proportional to 479,786 and 717,039 is: 1,071,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,786 : 717,039 = 717,039 : x
  2. Step 2: Convert to fraction form
    479,786/717,039 = 717,039/x
  3. Step 3: Cross multiply
    479,786x = 717,039 × 717,039
  4. Step 4: Simplify right side
    479,786x = 514,144,927,521
  5. Step 5: Solve for x
    x = 514,144,927,521/479,786
  6. Step 6: Final answer
    x = 1,071,613.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.