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Finding the Third Proportional to 200,714.20 and 432,490.64

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Solution

The third proportional to 200,714.20 and 432,490.64 is: 931,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,714.20 : 432,490.64 = 432,490.64 : x
  2. Step 2: Convert to fraction form
    200,714.20/432,490.64 = 432,490.64/x
  3. Step 3: Cross multiply
    200,714.20x = 432,490.64 × 432,490.64
  4. Step 4: Simplify right side
    200,714.20x = 187,048,154,228.22
  5. Step 5: Solve for x
    x = 187,048,154,228.22/200,714.20
  6. Step 6: Final answer
    x = 931,912.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.