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Finding the Third Proportional to 351,016 and 758,070

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Solution

The third proportional to 351,016 and 758,070 is: 1,637,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,016 : 758,070 = 758,070 : x
  2. Step 2: Convert to fraction form
    351,016/758,070 = 758,070/x
  3. Step 3: Cross multiply
    351,016x = 758,070 × 758,070
  4. Step 4: Simplify right side
    351,016x = 574,670,124,900
  5. Step 5: Solve for x
    x = 574,670,124,900/351,016
  6. Step 6: Final answer
    x = 1,637,162.19

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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.