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Finding the Third Proportional to 319,064 and 500,588

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Solution

The third proportional to 319,064 and 500,588 is: 785,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,064 : 500,588 = 500,588 : x
  2. Step 2: Convert to fraction form
    319,064/500,588 = 500,588/x
  3. Step 3: Cross multiply
    319,064x = 500,588 × 500,588
  4. Step 4: Simplify right side
    319,064x = 250,588,345,744
  5. Step 5: Solve for x
    x = 250,588,345,744/319,064
  6. Step 6: Final answer
    x = 785,385.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.