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Finding the Third Proportional to 211,980 and 460,770

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Solution

The third proportional to 211,980 and 460,770 is: 1,001,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,980 : 460,770 = 460,770 : x
  2. Step 2: Convert to fraction form
    211,980/460,770 = 460,770/x
  3. Step 3: Cross multiply
    211,980x = 460,770 × 460,770
  4. Step 4: Simplify right side
    211,980x = 212,308,992,900
  5. Step 5: Solve for x
    x = 212,308,992,900/211,980
  6. Step 6: Final answer
    x = 1,001,552.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.