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Finding the Third Proportional to 232,222 and 508,737

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Solution

The third proportional to 232,222 and 508,737 is: 1,114,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,222 : 508,737 = 508,737 : x
  2. Step 2: Convert to fraction form
    232,222/508,737 = 508,737/x
  3. Step 3: Cross multiply
    232,222x = 508,737 × 508,737
  4. Step 4: Simplify right side
    232,222x = 258,813,335,169
  5. Step 5: Solve for x
    x = 258,813,335,169/232,222
  6. Step 6: Final answer
    x = 1,114,508.25

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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.