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Finding the Third Proportional to 470,522.25 and 1,031,096.25

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Solution

The third proportional to 470,522.25 and 1,031,096.25 is: 2,259,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,522.25 : 1,031,096.25 = 1,031,096.25 : x
  2. Step 2: Convert to fraction form
    470,522.25/1,031,096.25 = 1,031,096.25/x
  3. Step 3: Cross multiply
    470,522.25x = 1,031,096.25 × 1,031,096.25
  4. Step 4: Simplify right side
    470,522.25x = 1,063,159,476,764.06
  5. Step 5: Solve for x
    x = 1,063,159,476,764.06/470,522.25
  6. Step 6: Final answer
    x = 2,259,530.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.