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Finding the Third Proportional to 336,404 and 506,010

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Solution

The third proportional to 336,404 and 506,010 is: 761,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,404 : 506,010 = 506,010 : x
  2. Step 2: Convert to fraction form
    336,404/506,010 = 506,010/x
  3. Step 3: Cross multiply
    336,404x = 506,010 × 506,010
  4. Step 4: Simplify right side
    336,404x = 256,046,120,100
  5. Step 5: Solve for x
    x = 256,046,120,100/336,404
  6. Step 6: Final answer
    x = 761,126.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.