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Finding the Third Proportional to 369,180 and 569,352

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Solution

The third proportional to 369,180 and 569,352 is: 878,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,180 : 569,352 = 569,352 : x
  2. Step 2: Convert to fraction form
    369,180/569,352 = 569,352/x
  3. Step 3: Cross multiply
    369,180x = 569,352 × 569,352
  4. Step 4: Simplify right side
    369,180x = 324,161,699,904
  5. Step 5: Solve for x
    x = 324,161,699,904/369,180
  6. Step 6: Final answer
    x = 878,058.67

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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.