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Finding the Third Proportional to 317,413.50 and 465,972

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Solution

The third proportional to 317,413.50 and 465,972 is: 684,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,413.50 : 465,972 = 465,972 : x
  2. Step 2: Convert to fraction form
    317,413.50/465,972 = 465,972/x
  3. Step 3: Cross multiply
    317,413.50x = 465,972 × 465,972
  4. Step 4: Simplify right side
    317,413.50x = 217,129,904,784
  5. Step 5: Solve for x
    x = 217,129,904,784/317,413.50
  6. Step 6: Final answer
    x = 684,060.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.