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Finding the Third Proportional to 354,574.13 and 758,970

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Solution

The third proportional to 354,574.13 and 758,970 is: 1,624,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,574.13 : 758,970 = 758,970 : x
  2. Step 2: Convert to fraction form
    354,574.13/758,970 = 758,970/x
  3. Step 3: Cross multiply
    354,574.13x = 758,970 × 758,970
  4. Step 4: Simplify right side
    354,574.13x = 576,035,460,900
  5. Step 5: Solve for x
    x = 576,035,460,900/354,574.13
  6. Step 6: Final answer
    x = 1,624,584.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.