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Finding the Third Proportional to 465,214 and 670,712

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Solution

The third proportional to 465,214 and 670,712 is: 966,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,214 : 670,712 = 670,712 : x
  2. Step 2: Convert to fraction form
    465,214/670,712 = 670,712/x
  3. Step 3: Cross multiply
    465,214x = 670,712 × 670,712
  4. Step 4: Simplify right side
    465,214x = 449,854,586,944
  5. Step 5: Solve for x
    x = 449,854,586,944/465,214
  6. Step 6: Final answer
    x = 966,984.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.