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Finding the Third Proportional to 292,504 and 595,376

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Solution

The third proportional to 292,504 and 595,376 is: 1,211,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,504 : 595,376 = 595,376 : x
  2. Step 2: Convert to fraction form
    292,504/595,376 = 595,376/x
  3. Step 3: Cross multiply
    292,504x = 595,376 × 595,376
  4. Step 4: Simplify right side
    292,504x = 354,472,581,376
  5. Step 5: Solve for x
    x = 354,472,581,376/292,504
  6. Step 6: Final answer
    x = 1,211,855.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.