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Finding the Third Proportional to 210,976.50 and 429,786

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Solution

The third proportional to 210,976.50 and 429,786 is: 875,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,976.50 : 429,786 = 429,786 : x
  2. Step 2: Convert to fraction form
    210,976.50/429,786 = 429,786/x
  3. Step 3: Cross multiply
    210,976.50x = 429,786 × 429,786
  4. Step 4: Simplify right side
    210,976.50x = 184,716,005,796
  5. Step 5: Solve for x
    x = 184,716,005,796/210,976.50
  6. Step 6: Final answer
    x = 875,528.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.