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Finding the Third Proportional to 364,572 and 569,892

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Solution

The third proportional to 364,572 and 569,892 is: 890,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,572 : 569,892 = 569,892 : x
  2. Step 2: Convert to fraction form
    364,572/569,892 = 569,892/x
  3. Step 3: Cross multiply
    364,572x = 569,892 × 569,892
  4. Step 4: Simplify right side
    364,572x = 324,776,891,664
  5. Step 5: Solve for x
    x = 324,776,891,664/364,572
  6. Step 6: Final answer
    x = 890,844.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.