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Finding the Third Proportional to 246,024 and 401,730

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Solution

The third proportional to 246,024 and 401,730 is: 655,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,024 : 401,730 = 401,730 : x
  2. Step 2: Convert to fraction form
    246,024/401,730 = 401,730/x
  3. Step 3: Cross multiply
    246,024x = 401,730 × 401,730
  4. Step 4: Simplify right side
    246,024x = 161,386,992,900
  5. Step 5: Solve for x
    x = 161,386,992,900/246,024
  6. Step 6: Final answer
    x = 655,980.69

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.