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Finding the Third Proportional to 309,072 and 662,502

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Solution

The third proportional to 309,072 and 662,502 is: 1,420,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,072 : 662,502 = 662,502 : x
  2. Step 2: Convert to fraction form
    309,072/662,502 = 662,502/x
  3. Step 3: Cross multiply
    309,072x = 662,502 × 662,502
  4. Step 4: Simplify right side
    309,072x = 438,908,900,004
  5. Step 5: Solve for x
    x = 438,908,900,004/309,072
  6. Step 6: Final answer
    x = 1,420,086.26

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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.