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Finding the Third Proportional to 294,755.63 and 631,533.38

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Solution

The third proportional to 294,755.63 and 631,533.38 is: 1,353,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,755.63 : 631,533.38 = 631,533.38 : x
  2. Step 2: Convert to fraction form
    294,755.63/631,533.38 = 631,533.38/x
  3. Step 3: Cross multiply
    294,755.63x = 631,533.38 × 631,533.38
  4. Step 4: Simplify right side
    294,755.63x = 398,834,403,738.89
  5. Step 5: Solve for x
    x = 398,834,403,738.89/294,755.63
  6. Step 6: Final answer
    x = 1,353,101.93

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