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Finding the Third Proportional to 357,445.41 and 785,732.91

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Solution

The third proportional to 357,445.41 and 785,732.91 is: 1,727,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,445.41 : 785,732.91 = 785,732.91 : x
  2. Step 2: Convert to fraction form
    357,445.41/785,732.91 = 785,732.91/x
  3. Step 3: Cross multiply
    357,445.41x = 785,732.91 × 785,732.91
  4. Step 4: Simplify right side
    357,445.41x = 617,376,199,964.07
  5. Step 5: Solve for x
    x = 617,376,199,964.07/357,445.41
  6. Step 6: Final answer
    x = 1,727,190.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.