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Finding the Third Proportional to 246,564 and 361,070

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Solution

The third proportional to 246,564 and 361,070 is: 528,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,564 : 361,070 = 361,070 : x
  2. Step 2: Convert to fraction form
    246,564/361,070 = 361,070/x
  3. Step 3: Cross multiply
    246,564x = 361,070 × 361,070
  4. Step 4: Simplify right side
    246,564x = 130,371,544,900
  5. Step 5: Solve for x
    x = 130,371,544,900/246,564
  6. Step 6: Final answer
    x = 528,753.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.