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Finding the Third Proportional to 175,580 and 384,613

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Solution

The third proportional to 175,580 and 384,613 is: 842,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,580 : 384,613 = 384,613 : x
  2. Step 2: Convert to fraction form
    175,580/384,613 = 384,613/x
  3. Step 3: Cross multiply
    175,580x = 384,613 × 384,613
  4. Step 4: Simplify right side
    175,580x = 147,927,159,769
  5. Step 5: Solve for x
    x = 147,927,159,769/175,580
  6. Step 6: Final answer
    x = 842,505.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.