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Finding the Third Proportional to 255,516 and 537,516

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Solution

The third proportional to 255,516 and 537,516 is: 1,130,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,516 : 537,516 = 537,516 : x
  2. Step 2: Convert to fraction form
    255,516/537,516 = 537,516/x
  3. Step 3: Cross multiply
    255,516x = 537,516 × 537,516
  4. Step 4: Simplify right side
    255,516x = 288,923,450,256
  5. Step 5: Solve for x
    x = 288,923,450,256/255,516
  6. Step 6: Final answer
    x = 1,130,745.04

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Why These Related Problems?

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