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Finding the Third Proportional to 283,818.09 and 473,012.16

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Solution

The third proportional to 283,818.09 and 473,012.16 is: 788,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,818.09 : 473,012.16 = 473,012.16 : x
  2. Step 2: Convert to fraction form
    283,818.09/473,012.16 = 473,012.16/x
  3. Step 3: Cross multiply
    283,818.09x = 473,012.16 × 473,012.16
  4. Step 4: Simplify right side
    283,818.09x = 223,740,499,960.27
  5. Step 5: Solve for x
    x = 223,740,499,960.27/283,818.09
  6. Step 6: Final answer
    x = 788,323.59

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.