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Finding the Third Proportional to 349,859 and 556,966

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Solution

The third proportional to 349,859 and 556,966 is: 886,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,859 : 556,966 = 556,966 : x
  2. Step 2: Convert to fraction form
    349,859/556,966 = 556,966/x
  3. Step 3: Cross multiply
    349,859x = 556,966 × 556,966
  4. Step 4: Simplify right side
    349,859x = 310,211,125,156
  5. Step 5: Solve for x
    x = 310,211,125,156/349,859
  6. Step 6: Final answer
    x = 886,674.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.