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Finding the Third Proportional to 364,559 and 569,871

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Solution

The third proportional to 364,559 and 569,871 is: 890,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,559 : 569,871 = 569,871 : x
  2. Step 2: Convert to fraction form
    364,559/569,871 = 569,871/x
  3. Step 3: Cross multiply
    364,559x = 569,871 × 569,871
  4. Step 4: Simplify right side
    364,559x = 324,752,956,641
  5. Step 5: Solve for x
    x = 324,752,956,641/364,559
  6. Step 6: Final answer
    x = 890,810.42

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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.