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Finding the Third Proportional to 294,853.50 and 631,773

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Solution

The third proportional to 294,853.50 and 631,773 is: 1,353,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,853.50 : 631,773 = 631,773 : x
  2. Step 2: Convert to fraction form
    294,853.50/631,773 = 631,773/x
  3. Step 3: Cross multiply
    294,853.50x = 631,773 × 631,773
  4. Step 4: Simplify right side
    294,853.50x = 399,137,123,529
  5. Step 5: Solve for x
    x = 399,137,123,529/294,853.50
  6. Step 6: Final answer
    x = 1,353,679.45

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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.