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Finding the Third Proportional to 306,071 and 662,008

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Solution

The third proportional to 306,071 and 662,008 is: 1,431,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,071 : 662,008 = 662,008 : x
  2. Step 2: Convert to fraction form
    306,071/662,008 = 662,008/x
  3. Step 3: Cross multiply
    306,071x = 662,008 × 662,008
  4. Step 4: Simplify right side
    306,071x = 438,254,592,064
  5. Step 5: Solve for x
    x = 438,254,592,064/306,071
  6. Step 6: Final answer
    x = 1,431,872.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.