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Finding the Third Proportional to 255,600.56 and 537,642.56

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Solution

The third proportional to 255,600.56 and 537,642.56 is: 1,130,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,600.56 : 537,642.56 = 537,642.56 : x
  2. Step 2: Convert to fraction form
    255,600.56/537,642.56 = 537,642.56/x
  3. Step 3: Cross multiply
    255,600.56x = 537,642.56 × 537,642.56
  4. Step 4: Simplify right side
    255,600.56x = 289,059,525,011.57
  5. Step 5: Solve for x
    x = 289,059,525,011.57/255,600.56
  6. Step 6: Final answer
    x = 1,130,903.32

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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.