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Finding the Third Proportional to 294,348 and 453,004

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Solution

The third proportional to 294,348 and 453,004 is: 697,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,348 : 453,004 = 453,004 : x
  2. Step 2: Convert to fraction form
    294,348/453,004 = 453,004/x
  3. Step 3: Cross multiply
    294,348x = 453,004 × 453,004
  4. Step 4: Simplify right side
    294,348x = 205,212,624,016
  5. Step 5: Solve for x
    x = 205,212,624,016/294,348
  6. Step 6: Final answer
    x = 697,176.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.