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Finding the Third Proportional to 314,590.50 and 673,670.25

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Solution

The third proportional to 314,590.50 and 673,670.25 is: 1,442,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,590.50 : 673,670.25 = 673,670.25 : x
  2. Step 2: Convert to fraction form
    314,590.50/673,670.25 = 673,670.25/x
  3. Step 3: Cross multiply
    314,590.50x = 673,670.25 × 673,670.25
  4. Step 4: Simplify right side
    314,590.50x = 453,831,605,735.06
  5. Step 5: Solve for x
    x = 453,831,605,735.06/314,590.50
  6. Step 6: Final answer
    x = 1,442,610.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.