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Finding the Third Proportional to 206,671.50 and 470,615.06

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Solution

The third proportional to 206,671.50 and 470,615.06 is: 1,071,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,671.50 : 470,615.06 = 470,615.06 : x
  2. Step 2: Convert to fraction form
    206,671.50/470,615.06 = 470,615.06/x
  3. Step 3: Cross multiply
    206,671.50x = 470,615.06 × 470,615.06
  4. Step 4: Simplify right side
    206,671.50x = 221,478,537,051.88
  5. Step 5: Solve for x
    x = 221,478,537,051.88/206,671.50
  6. Step 6: Final answer
    x = 1,071,645.28

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.