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Finding the Third Proportional to 438,044.63 and 640,436.63

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Solution

The third proportional to 438,044.63 and 640,436.63 is: 936,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,044.63 : 640,436.63 = 640,436.63 : x
  2. Step 2: Convert to fraction form
    438,044.63/640,436.63 = 640,436.63/x
  3. Step 3: Cross multiply
    438,044.63x = 640,436.63 × 640,436.63
  4. Step 4: Simplify right side
    438,044.63x = 410,159,070,641.39
  5. Step 5: Solve for x
    x = 410,159,070,641.39/438,044.63
  6. Step 6: Final answer
    x = 936,340.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.