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Finding the Third Proportional to 357,701.06 and 758,048.63

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Solution

The third proportional to 357,701.06 and 758,048.63 is: 1,606,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,701.06 : 758,048.63 = 758,048.63 : x
  2. Step 2: Convert to fraction form
    357,701.06/758,048.63 = 758,048.63/x
  3. Step 3: Cross multiply
    357,701.06x = 758,048.63 × 758,048.63
  4. Step 4: Simplify right side
    357,701.06x = 574,637,717,864.39
  5. Step 5: Solve for x
    x = 574,637,717,864.39/357,701.06
  6. Step 6: Final answer
    x = 1,606,474.73

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.