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Finding the Third Proportional to 328,199.34 and 442,434.66

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Solution

The third proportional to 328,199.34 and 442,434.66 is: 596,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,199.34 : 442,434.66 = 442,434.66 : x
  2. Step 2: Convert to fraction form
    328,199.34/442,434.66 = 442,434.66/x
  3. Step 3: Cross multiply
    328,199.34x = 442,434.66 × 442,434.66
  4. Step 4: Simplify right side
    328,199.34x = 195,748,425,051.06
  5. Step 5: Solve for x
    x = 195,748,425,051.06/328,199.34
  6. Step 6: Final answer
    x = 596,431.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.