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Finding the Third Proportional to 319,284 and 426,044

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Solution

The third proportional to 319,284 and 426,044 is: 568,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,284 : 426,044 = 426,044 : x
  2. Step 2: Convert to fraction form
    319,284/426,044 = 426,044/x
  3. Step 3: Cross multiply
    319,284x = 426,044 × 426,044
  4. Step 4: Simplify right side
    319,284x = 181,513,489,936
  5. Step 5: Solve for x
    x = 181,513,489,936/319,284
  6. Step 6: Final answer
    x = 568,501.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.