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Finding the Third Proportional to 476,738 and 706,861

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Solution

The third proportional to 476,738 and 706,861 is: 1,048,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,738 : 706,861 = 706,861 : x
  2. Step 2: Convert to fraction form
    476,738/706,861 = 706,861/x
  3. Step 3: Cross multiply
    476,738x = 706,861 × 706,861
  4. Step 4: Simplify right side
    476,738x = 499,652,473,321
  5. Step 5: Solve for x
    x = 499,652,473,321/476,738
  6. Step 6: Final answer
    x = 1,048,065.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.