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Finding the Third Proportional to 631,314.63 and 947,701

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Solution

The third proportional to 631,314.63 and 947,701 is: 1,422,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,314.63 : 947,701 = 947,701 : x
  2. Step 2: Convert to fraction form
    631,314.63/947,701 = 947,701/x
  3. Step 3: Cross multiply
    631,314.63x = 947,701 × 947,701
  4. Step 4: Simplify right side
    631,314.63x = 898,137,185,401
  5. Step 5: Solve for x
    x = 898,137,185,401/631,314.63
  6. Step 6: Final answer
    x = 1,422,645.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.