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Finding the Third Proportional to 255,503.11 and 537,489.42

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Solution

The third proportional to 255,503.11 and 537,489.42 is: 1,130,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,503.11 : 537,489.42 = 537,489.42 : x
  2. Step 2: Convert to fraction form
    255,503.11/537,489.42 = 537,489.42/x
  3. Step 3: Cross multiply
    255,503.11x = 537,489.42 × 537,489.42
  4. Step 4: Simplify right side
    255,503.11x = 288,894,878,627.52
  5. Step 5: Solve for x
    x = 288,894,878,627.52/255,503.11
  6. Step 6: Final answer
    x = 1,130,690.27

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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.