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Finding the Third Proportional to 252,396 and 589,801.50

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Solution

The third proportional to 252,396 and 589,801.50 is: 1,378,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,396 : 589,801.50 = 589,801.50 : x
  2. Step 2: Convert to fraction form
    252,396/589,801.50 = 589,801.50/x
  3. Step 3: Cross multiply
    252,396x = 589,801.50 × 589,801.50
  4. Step 4: Simplify right side
    252,396x = 347,865,809,402.25
  5. Step 5: Solve for x
    x = 347,865,809,402.25/252,396
  6. Step 6: Final answer
    x = 1,378,254.05

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