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Finding the Third Proportional to 283,830 and 473,028

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Solution

The third proportional to 283,830 and 473,028 is: 788,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,830 : 473,028 = 473,028 : x
  2. Step 2: Convert to fraction form
    283,830/473,028 = 473,028/x
  3. Step 3: Cross multiply
    283,830x = 473,028 × 473,028
  4. Step 4: Simplify right side
    283,830x = 223,755,488,784
  5. Step 5: Solve for x
    x = 223,755,488,784/283,830
  6. Step 6: Final answer
    x = 788,343.34

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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.