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Finding the Third Proportional to 314,215.88 and 683,106.75

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Solution

The third proportional to 314,215.88 and 683,106.75 is: 1,485,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,215.88 : 683,106.75 = 683,106.75 : x
  2. Step 2: Convert to fraction form
    314,215.88/683,106.75 = 683,106.75/x
  3. Step 3: Cross multiply
    314,215.88x = 683,106.75 × 683,106.75
  4. Step 4: Simplify right side
    314,215.88x = 466,634,831,895.56
  5. Step 5: Solve for x
    x = 466,634,831,895.56/314,215.88
  6. Step 6: Final answer
    x = 1,485,077.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.