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Finding the Third Proportional to 255,523.50 and 537,529.50

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Solution

The third proportional to 255,523.50 and 537,529.50 is: 1,130,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,523.50 : 537,529.50 = 537,529.50 : x
  2. Step 2: Convert to fraction form
    255,523.50/537,529.50 = 537,529.50/x
  3. Step 3: Cross multiply
    255,523.50x = 537,529.50 × 537,529.50
  4. Step 4: Simplify right side
    255,523.50x = 288,937,963,370.25
  5. Step 5: Solve for x
    x = 288,937,963,370.25/255,523.50
  6. Step 6: Final answer
    x = 1,130,768.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.