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Finding the Third Proportional to 312,944 and 675,770

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Solution

The third proportional to 312,944 and 675,770 is: 1,459,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,944 : 675,770 = 675,770 : x
  2. Step 2: Convert to fraction form
    312,944/675,770 = 675,770/x
  3. Step 3: Cross multiply
    312,944x = 675,770 × 675,770
  4. Step 4: Simplify right side
    312,944x = 456,665,092,900
  5. Step 5: Solve for x
    x = 456,665,092,900/312,944
  6. Step 6: Final answer
    x = 1,459,254.99

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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.