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Finding the Third Proportional to 389,523 and 586,848

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Solution

The third proportional to 389,523 and 586,848 is: 884,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,523 : 586,848 = 586,848 : x
  2. Step 2: Convert to fraction form
    389,523/586,848 = 586,848/x
  3. Step 3: Cross multiply
    389,523x = 586,848 × 586,848
  4. Step 4: Simplify right side
    389,523x = 344,390,575,104
  5. Step 5: Solve for x
    x = 344,390,575,104/389,523
  6. Step 6: Final answer
    x = 884,134.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.