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Finding the Third Proportional to 384,054 and 517,017

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Solution

The third proportional to 384,054 and 517,017 is: 696,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,054 : 517,017 = 517,017 : x
  2. Step 2: Convert to fraction form
    384,054/517,017 = 517,017/x
  3. Step 3: Cross multiply
    384,054x = 517,017 × 517,017
  4. Step 4: Simplify right side
    384,054x = 267,306,578,289
  5. Step 5: Solve for x
    x = 267,306,578,289/384,054
  6. Step 6: Final answer
    x = 696,013.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.