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Finding the Third Proportional to 368,790 and 569,564

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Solution

The third proportional to 368,790 and 569,564 is: 879,641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,790 : 569,564 = 569,564 : x
  2. Step 2: Convert to fraction form
    368,790/569,564 = 569,564/x
  3. Step 3: Cross multiply
    368,790x = 569,564 × 569,564
  4. Step 4: Simplify right side
    368,790x = 324,403,150,096
  5. Step 5: Solve for x
    x = 324,403,150,096/368,790
  6. Step 6: Final answer
    x = 879,641.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.