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Finding the Third Proportional to 232,380 and 507,405

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Solution

The third proportional to 232,380 and 507,405 is: 1,107,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,380 : 507,405 = 507,405 : x
  2. Step 2: Convert to fraction form
    232,380/507,405 = 507,405/x
  3. Step 3: Cross multiply
    232,380x = 507,405 × 507,405
  4. Step 4: Simplify right side
    232,380x = 257,459,834,025
  5. Step 5: Solve for x
    x = 257,459,834,025/232,380
  6. Step 6: Final answer
    x = 1,107,925.96

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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.