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Finding the Third Proportional to 231,655 and 507,597

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Solution

The third proportional to 231,655 and 507,597 is: 1,112,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,655 : 507,597 = 507,597 : x
  2. Step 2: Convert to fraction form
    231,655/507,597 = 507,597/x
  3. Step 3: Cross multiply
    231,655x = 507,597 × 507,597
  4. Step 4: Simplify right side
    231,655x = 257,654,714,409
  5. Step 5: Solve for x
    x = 257,654,714,409/231,655
  6. Step 6: Final answer
    x = 1,112,234.64

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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.