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Finding the Third Proportional to 583,673 and 788,893

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Solution

The third proportional to 583,673 and 788,893 is: 1,066,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,673 : 788,893 = 788,893 : x
  2. Step 2: Convert to fraction form
    583,673/788,893 = 788,893/x
  3. Step 3: Cross multiply
    583,673x = 788,893 × 788,893
  4. Step 4: Simplify right side
    583,673x = 622,352,165,449
  5. Step 5: Solve for x
    x = 622,352,165,449/583,673
  6. Step 6: Final answer
    x = 1,066,268.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.