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Finding the Third Proportional to 305,294 and 447,004

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Solution

The third proportional to 305,294 and 447,004 is: 654,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,294 : 447,004 = 447,004 : x
  2. Step 2: Convert to fraction form
    305,294/447,004 = 447,004/x
  3. Step 3: Cross multiply
    305,294x = 447,004 × 447,004
  4. Step 4: Simplify right side
    305,294x = 199,812,576,016
  5. Step 5: Solve for x
    x = 199,812,576,016/305,294
  6. Step 6: Final answer
    x = 654,492.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.