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Finding the Third Proportional to 294,243 and 623,800.50

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Solution

The third proportional to 294,243 and 623,800.50 is: 1,322,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,243 : 623,800.50 = 623,800.50 : x
  2. Step 2: Convert to fraction form
    294,243/623,800.50 = 623,800.50/x
  3. Step 3: Cross multiply
    294,243x = 623,800.50 × 623,800.50
  4. Step 4: Simplify right side
    294,243x = 389,127,063,800.25
  5. Step 5: Solve for x
    x = 389,127,063,800.25/294,243
  6. Step 6: Final answer
    x = 1,322,468.38

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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.