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Finding the Third Proportional to 523,283.63 and 1,130,213.25

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Solution

The third proportional to 523,283.63 and 1,130,213.25 is: 2,441,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,283.63 : 1,130,213.25 = 1,130,213.25 : x
  2. Step 2: Convert to fraction form
    523,283.63/1,130,213.25 = 1,130,213.25/x
  3. Step 3: Cross multiply
    523,283.63x = 1,130,213.25 × 1,130,213.25
  4. Step 4: Simplify right side
    523,283.63x = 1,277,381,990,475.56
  5. Step 5: Solve for x
    x = 1,277,381,990,475.56/523,283.63
  6. Step 6: Final answer
    x = 2,441,089.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.