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Finding the Third Proportional to 275,440 and 583,952

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Solution

The third proportional to 275,440 and 583,952 is: 1,238,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,440 : 583,952 = 583,952 : x
  2. Step 2: Convert to fraction form
    275,440/583,952 = 583,952/x
  3. Step 3: Cross multiply
    275,440x = 583,952 × 583,952
  4. Step 4: Simplify right side
    275,440x = 340,999,938,304
  5. Step 5: Solve for x
    x = 340,999,938,304/275,440
  6. Step 6: Final answer
    x = 1,238,018.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.