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Finding the Third Proportional to 294,597 and 441,774

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Solution

The third proportional to 294,597 and 441,774 is: 662,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,597 : 441,774 = 441,774 : x
  2. Step 2: Convert to fraction form
    294,597/441,774 = 441,774/x
  3. Step 3: Cross multiply
    294,597x = 441,774 × 441,774
  4. Step 4: Simplify right side
    294,597x = 195,164,267,076
  5. Step 5: Solve for x
    x = 195,164,267,076/294,597
  6. Step 6: Final answer
    x = 662,478.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.