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Finding the Third Proportional to 232,117 and 507,974

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Solution

The third proportional to 232,117 and 507,974 is: 1,111,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,117 : 507,974 = 507,974 : x
  2. Step 2: Convert to fraction form
    232,117/507,974 = 507,974/x
  3. Step 3: Cross multiply
    232,117x = 507,974 × 507,974
  4. Step 4: Simplify right side
    232,117x = 258,037,584,676
  5. Step 5: Solve for x
    x = 258,037,584,676/232,117
  6. Step 6: Final answer
    x = 1,111,670.34

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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.