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Finding the Third Proportional to 529,407 and 799,046.44

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Solution

The third proportional to 529,407 and 799,046.44 is: 1,206,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,407 : 799,046.44 = 799,046.44 : x
  2. Step 2: Convert to fraction form
    529,407/799,046.44 = 799,046.44/x
  3. Step 3: Cross multiply
    529,407x = 799,046.44 × 799,046.44
  4. Step 4: Simplify right side
    529,407x = 638,475,209,281.44
  5. Step 5: Solve for x
    x = 638,475,209,281.44/529,407
  6. Step 6: Final answer
    x = 1,206,019.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.