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Finding the Third Proportional to 545,622.63 and 825,980.13

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Solution

The third proportional to 545,622.63 and 825,980.13 is: 1,250,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,622.63 : 825,980.13 = 825,980.13 : x
  2. Step 2: Convert to fraction form
    545,622.63/825,980.13 = 825,980.13/x
  3. Step 3: Cross multiply
    545,622.63x = 825,980.13 × 825,980.13
  4. Step 4: Simplify right side
    545,622.63x = 682,243,166,895.02
  5. Step 5: Solve for x
    x = 682,243,166,895.02/545,622.63
  6. Step 6: Final answer
    x = 1,250,393.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.