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Finding the Third Proportional to 246,174 and 526,464

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Solution

The third proportional to 246,174 and 526,464 is: 1,125,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,174 : 526,464 = 526,464 : x
  2. Step 2: Convert to fraction form
    246,174/526,464 = 526,464/x
  3. Step 3: Cross multiply
    246,174x = 526,464 × 526,464
  4. Step 4: Simplify right side
    246,174x = 277,164,343,296
  5. Step 5: Solve for x
    x = 277,164,343,296/246,174
  6. Step 6: Final answer
    x = 1,125,887.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.