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Finding the Third Proportional to 565,323.75 and 1,230,283.13

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Solution

The third proportional to 565,323.75 and 1,230,283.13 is: 2,677,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,323.75 : 1,230,283.13 = 1,230,283.13 : x
  2. Step 2: Convert to fraction form
    565,323.75/1,230,283.13 = 1,230,283.13/x
  3. Step 3: Cross multiply
    565,323.75x = 1,230,283.13 × 1,230,283.13
  4. Step 4: Simplify right side
    565,323.75x = 1,513,596,567,659.77
  5. Step 5: Solve for x
    x = 1,513,596,567,659.77/565,323.75
  6. Step 6: Final answer
    x = 2,677,397.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.