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Finding the Third Proportional to 293,296 and 457,472

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Solution

The third proportional to 293,296 and 457,472 is: 713,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,296 : 457,472 = 457,472 : x
  2. Step 2: Convert to fraction form
    293,296/457,472 = 457,472/x
  3. Step 3: Cross multiply
    293,296x = 457,472 × 457,472
  4. Step 4: Simplify right side
    293,296x = 209,280,630,784
  5. Step 5: Solve for x
    x = 209,280,630,784/293,296
  6. Step 6: Final answer
    x = 713,547.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.