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Finding the Third Proportional to 294,246.75 and 623,802

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Solution

The third proportional to 294,246.75 and 623,802 is: 1,322,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,246.75 : 623,802 = 623,802 : x
  2. Step 2: Convert to fraction form
    294,246.75/623,802 = 623,802/x
  3. Step 3: Cross multiply
    294,246.75x = 623,802 × 623,802
  4. Step 4: Simplify right side
    294,246.75x = 389,128,935,204
  5. Step 5: Solve for x
    x = 389,128,935,204/294,246.75
  6. Step 6: Final answer
    x = 1,322,457.89

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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.