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Finding the Third Proportional to 294,241.50 and 623,792

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Solution

The third proportional to 294,241.50 and 623,792 is: 1,322,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,241.50 : 623,792 = 623,792 : x
  2. Step 2: Convert to fraction form
    294,241.50/623,792 = 623,792/x
  3. Step 3: Cross multiply
    294,241.50x = 623,792 × 623,792
  4. Step 4: Simplify right side
    294,241.50x = 389,116,459,264
  5. Step 5: Solve for x
    x = 389,116,459,264/294,241.50
  6. Step 6: Final answer
    x = 1,322,439.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.