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Finding the Third Proportional to 262,938 and 574,506

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Solution

The third proportional to 262,938 and 574,506 is: 1,255,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,938 : 574,506 = 574,506 : x
  2. Step 2: Convert to fraction form
    262,938/574,506 = 574,506/x
  3. Step 3: Cross multiply
    262,938x = 574,506 × 574,506
  4. Step 4: Simplify right side
    262,938x = 330,057,144,036
  5. Step 5: Solve for x
    x = 330,057,144,036/262,938
  6. Step 6: Final answer
    x = 1,255,266.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.