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Finding the Third Proportional to 333,158 and 529,863

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Solution

The third proportional to 333,158 and 529,863 is: 842,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,158 : 529,863 = 529,863 : x
  2. Step 2: Convert to fraction form
    333,158/529,863 = 529,863/x
  3. Step 3: Cross multiply
    333,158x = 529,863 × 529,863
  4. Step 4: Simplify right side
    333,158x = 280,754,798,769
  5. Step 5: Solve for x
    x = 280,754,798,769/333,158
  6. Step 6: Final answer
    x = 842,707.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.