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Finding the Third Proportional to 471,752 and 705,900

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Solution

The third proportional to 471,752 and 705,900 is: 1,056,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,752 : 705,900 = 705,900 : x
  2. Step 2: Convert to fraction form
    471,752/705,900 = 705,900/x
  3. Step 3: Cross multiply
    471,752x = 705,900 × 705,900
  4. Step 4: Simplify right side
    471,752x = 498,294,810,000
  5. Step 5: Solve for x
    x = 498,294,810,000/471,752
  6. Step 6: Final answer
    x = 1,056,264.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.