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Finding the Third Proportional to 569,116 and 824,298

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Solution

The third proportional to 569,116 and 824,298 is: 1,193,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,116 : 824,298 = 824,298 : x
  2. Step 2: Convert to fraction form
    569,116/824,298 = 824,298/x
  3. Step 3: Cross multiply
    569,116x = 824,298 × 824,298
  4. Step 4: Simplify right side
    569,116x = 679,467,192,804
  5. Step 5: Solve for x
    x = 679,467,192,804/569,116
  6. Step 6: Final answer
    x = 1,193,899.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.