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Finding the Third Proportional to 314,584 and 679,224

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Solution

The third proportional to 314,584 and 679,224 is: 1,466,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,584 : 679,224 = 679,224 : x
  2. Step 2: Convert to fraction form
    314,584/679,224 = 679,224/x
  3. Step 3: Cross multiply
    314,584x = 679,224 × 679,224
  4. Step 4: Simplify right side
    314,584x = 461,345,242,176
  5. Step 5: Solve for x
    x = 461,345,242,176/314,584
  6. Step 6: Final answer
    x = 1,466,524.81

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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.