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Finding the Third Proportional to 232,209 and 508,707

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Solution

The third proportional to 232,209 and 508,707 is: 1,114,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,209 : 508,707 = 508,707 : x
  2. Step 2: Convert to fraction form
    232,209/508,707 = 508,707/x
  3. Step 3: Cross multiply
    232,209x = 508,707 × 508,707
  4. Step 4: Simplify right side
    232,209x = 258,782,811,849
  5. Step 5: Solve for x
    x = 258,782,811,849/232,209
  6. Step 6: Final answer
    x = 1,114,439.20

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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.