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Finding the Third Proportional to 294,774 and 631,607.25

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Solution

The third proportional to 294,774 and 631,607.25 is: 1,353,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,774 : 631,607.25 = 631,607.25 : x
  2. Step 2: Convert to fraction form
    294,774/631,607.25 = 631,607.25/x
  3. Step 3: Cross multiply
    294,774x = 631,607.25 × 631,607.25
  4. Step 4: Simplify right side
    294,774x = 398,927,718,252.56
  5. Step 5: Solve for x
    x = 398,927,718,252.56/294,774
  6. Step 6: Final answer
    x = 1,353,334.14

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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.