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Finding the Third Proportional to 364,056 and 569,847

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Solution

The third proportional to 364,056 and 569,847 is: 891,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,056 : 569,847 = 569,847 : x
  2. Step 2: Convert to fraction form
    364,056/569,847 = 569,847/x
  3. Step 3: Cross multiply
    364,056x = 569,847 × 569,847
  4. Step 4: Simplify right side
    364,056x = 324,725,603,409
  5. Step 5: Solve for x
    x = 324,725,603,409/364,056
  6. Step 6: Final answer
    x = 891,966.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.