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Finding the Third Proportional to 255,601.50 and 537,643.50

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Solution

The third proportional to 255,601.50 and 537,643.50 is: 1,130,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,601.50 : 537,643.50 = 537,643.50 : x
  2. Step 2: Convert to fraction form
    255,601.50/537,643.50 = 537,643.50/x
  3. Step 3: Cross multiply
    255,601.50x = 537,643.50 × 537,643.50
  4. Step 4: Simplify right side
    255,601.50x = 289,060,533,092.25
  5. Step 5: Solve for x
    x = 289,060,533,092.25/255,601.50
  6. Step 6: Final answer
    x = 1,130,903.12

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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.