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Finding the Third Proportional to 253,719 and 545,710.50

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Solution

The third proportional to 253,719 and 545,710.50 is: 1,173,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,719 : 545,710.50 = 545,710.50 : x
  2. Step 2: Convert to fraction form
    253,719/545,710.50 = 545,710.50/x
  3. Step 3: Cross multiply
    253,719x = 545,710.50 × 545,710.50
  4. Step 4: Simplify right side
    253,719x = 297,799,949,810.25
  5. Step 5: Solve for x
    x = 297,799,949,810.25/253,719
  6. Step 6: Final answer
    x = 1,173,739.25

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