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Finding the Third Proportional to 232,011 and 508,842

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Solution

The third proportional to 232,011 and 508,842 is: 1,115,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,011 : 508,842 = 508,842 : x
  2. Step 2: Convert to fraction form
    232,011/508,842 = 508,842/x
  3. Step 3: Cross multiply
    232,011x = 508,842 × 508,842
  4. Step 4: Simplify right side
    232,011x = 258,920,180,964
  5. Step 5: Solve for x
    x = 258,920,180,964/232,011
  6. Step 6: Final answer
    x = 1,115,982.35

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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.