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Finding the Third Proportional to 253,419.75 and 545,962.50

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Solution

The third proportional to 253,419.75 and 545,962.50 is: 1,176,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,419.75 : 545,962.50 = 545,962.50 : x
  2. Step 2: Convert to fraction form
    253,419.75/545,962.50 = 545,962.50/x
  3. Step 3: Cross multiply
    253,419.75x = 545,962.50 × 545,962.50
  4. Step 4: Simplify right side
    253,419.75x = 298,075,051,406.25
  5. Step 5: Solve for x
    x = 298,075,051,406.25/253,419.75
  6. Step 6: Final answer
    x = 1,176,210.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.