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Finding the Third Proportional to 545,572 and 1,178,259.50

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Solution

The third proportional to 545,572 and 1,178,259.50 is: 2,544,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,572 : 1,178,259.50 = 1,178,259.50 : x
  2. Step 2: Convert to fraction form
    545,572/1,178,259.50 = 1,178,259.50/x
  3. Step 3: Cross multiply
    545,572x = 1,178,259.50 × 1,178,259.50
  4. Step 4: Simplify right side
    545,572x = 1,388,295,449,340.25
  5. Step 5: Solve for x
    x = 1,388,295,449,340.25/545,572
  6. Step 6: Final answer
    x = 2,544,660.37

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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.