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Finding the Third Proportional to 287,665.88 and 431,498.63

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Solution

The third proportional to 287,665.88 and 431,498.63 is: 647,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,665.88 : 431,498.63 = 431,498.63 : x
  2. Step 2: Convert to fraction form
    287,665.88/431,498.63 = 431,498.63/x
  3. Step 3: Cross multiply
    287,665.88x = 431,498.63 × 431,498.63
  4. Step 4: Simplify right side
    287,665.88x = 186,191,063,376.89
  5. Step 5: Solve for x
    x = 186,191,063,376.89/287,665.88
  6. Step 6: Final answer
    x = 647,247.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.