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Finding the Third Proportional to 365,655 and 583,902

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Solution

The third proportional to 365,655 and 583,902 is: 932,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,655 : 583,902 = 583,902 : x
  2. Step 2: Convert to fraction form
    365,655/583,902 = 583,902/x
  3. Step 3: Cross multiply
    365,655x = 583,902 × 583,902
  4. Step 4: Simplify right side
    365,655x = 340,941,545,604
  5. Step 5: Solve for x
    x = 340,941,545,604/365,655
  6. Step 6: Final answer
    x = 932,413.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.