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Finding the Third Proportional to 393,985 and 602,413.50

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Solution

The third proportional to 393,985 and 602,413.50 is: 921,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,985 : 602,413.50 = 602,413.50 : x
  2. Step 2: Convert to fraction form
    393,985/602,413.50 = 602,413.50/x
  3. Step 3: Cross multiply
    393,985x = 602,413.50 × 602,413.50
  4. Step 4: Simplify right side
    393,985x = 362,902,024,982.25
  5. Step 5: Solve for x
    x = 362,902,024,982.25/393,985
  6. Step 6: Final answer
    x = 921,106.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.