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Finding the Third Proportional to 262,771.50 and 576,411

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Solution

The third proportional to 262,771.50 and 576,411 is: 1,264,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,771.50 : 576,411 = 576,411 : x
  2. Step 2: Convert to fraction form
    262,771.50/576,411 = 576,411/x
  3. Step 3: Cross multiply
    262,771.50x = 576,411 × 576,411
  4. Step 4: Simplify right side
    262,771.50x = 332,249,640,921
  5. Step 5: Solve for x
    x = 332,249,640,921/262,771.50
  6. Step 6: Final answer
    x = 1,264,405.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.