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Finding the Third Proportional to 297,117 and 650,376

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Solution

The third proportional to 297,117 and 650,376 is: 1,423,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,117 : 650,376 = 650,376 : x
  2. Step 2: Convert to fraction form
    297,117/650,376 = 650,376/x
  3. Step 3: Cross multiply
    297,117x = 650,376 × 650,376
  4. Step 4: Simplify right side
    297,117x = 422,988,941,376
  5. Step 5: Solve for x
    x = 422,988,941,376/297,117
  6. Step 6: Final answer
    x = 1,423,644.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.