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Finding the Third Proportional to 545,656.50 and 1,274,595.75

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Solution

The third proportional to 545,656.50 and 1,274,595.75 is: 2,977,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,656.50 : 1,274,595.75 = 1,274,595.75 : x
  2. Step 2: Convert to fraction form
    545,656.50/1,274,595.75 = 1,274,595.75/x
  3. Step 3: Cross multiply
    545,656.50x = 1,274,595.75 × 1,274,595.75
  4. Step 4: Simplify right side
    545,656.50x = 1,624,594,325,918.06
  5. Step 5: Solve for x
    x = 1,624,594,325,918.06/545,656.50
  6. Step 6: Final answer
    x = 2,977,320.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.