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Finding the Third Proportional to 344,084 and 506,006

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Solution

The third proportional to 344,084 and 506,006 is: 744,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,084 : 506,006 = 506,006 : x
  2. Step 2: Convert to fraction form
    344,084/506,006 = 506,006/x
  3. Step 3: Cross multiply
    344,084x = 506,006 × 506,006
  4. Step 4: Simplify right side
    344,084x = 256,042,072,036
  5. Step 5: Solve for x
    x = 256,042,072,036/344,084
  6. Step 6: Final answer
    x = 744,126.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.