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Finding the Third Proportional to 553,096 and 879,464

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Solution

The third proportional to 553,096 and 879,464 is: 1,398,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,096 : 879,464 = 879,464 : x
  2. Step 2: Convert to fraction form
    553,096/879,464 = 879,464/x
  3. Step 3: Cross multiply
    553,096x = 879,464 × 879,464
  4. Step 4: Simplify right side
    553,096x = 773,456,927,296
  5. Step 5: Solve for x
    x = 773,456,927,296/553,096
  6. Step 6: Final answer
    x = 1,398,413.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.