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Finding the Third Proportional to 413,798.63 and 632,726.44

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Solution

The third proportional to 413,798.63 and 632,726.44 is: 967,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,798.63 : 632,726.44 = 632,726.44 : x
  2. Step 2: Convert to fraction form
    413,798.63/632,726.44 = 632,726.44/x
  3. Step 3: Cross multiply
    413,798.63x = 632,726.44 × 632,726.44
  4. Step 4: Simplify right side
    413,798.63x = 400,342,744,711.44
  5. Step 5: Solve for x
    x = 400,342,744,711.44/413,798.63
  6. Step 6: Final answer
    x = 967,482.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.