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Finding the Third Proportional to 232,023 and 506,658

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Solution

The third proportional to 232,023 and 506,658 is: 1,106,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,023 : 506,658 = 506,658 : x
  2. Step 2: Convert to fraction form
    232,023/506,658 = 506,658/x
  3. Step 3: Cross multiply
    232,023x = 506,658 × 506,658
  4. Step 4: Simplify right side
    232,023x = 256,702,328,964
  5. Step 5: Solve for x
    x = 256,702,328,964/232,023
  6. Step 6: Final answer
    x = 1,106,365.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.