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Finding the Third Proportional to 200,456 and 432,012

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Solution

The third proportional to 200,456 and 432,012 is: 931,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,456 : 432,012 = 432,012 : x
  2. Step 2: Convert to fraction form
    200,456/432,012 = 432,012/x
  3. Step 3: Cross multiply
    200,456x = 432,012 × 432,012
  4. Step 4: Simplify right side
    200,456x = 186,634,368,144
  5. Step 5: Solve for x
    x = 186,634,368,144/200,456
  6. Step 6: Final answer
    x = 931,049.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.