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Finding the Third Proportional to 294,237 and 623,783

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Solution

The third proportional to 294,237 and 623,783 is: 1,322,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,237 : 623,783 = 623,783 : x
  2. Step 2: Convert to fraction form
    294,237/623,783 = 623,783/x
  3. Step 3: Cross multiply
    294,237x = 623,783 × 623,783
  4. Step 4: Simplify right side
    294,237x = 389,105,231,089
  5. Step 5: Solve for x
    x = 389,105,231,089/294,237
  6. Step 6: Final answer
    x = 1,322,421.15

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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.