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Finding the Third Proportional to 275,362 and 602,564

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Solution

The third proportional to 275,362 and 602,564 is: 1,318,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,362 : 602,564 = 602,564 : x
  2. Step 2: Convert to fraction form
    275,362/602,564 = 602,564/x
  3. Step 3: Cross multiply
    275,362x = 602,564 × 602,564
  4. Step 4: Simplify right side
    275,362x = 363,083,374,096
  5. Step 5: Solve for x
    x = 363,083,374,096/275,362
  6. Step 6: Final answer
    x = 1,318,567.46

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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.