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Finding the Third Proportional to 291,578.06 and 456,413.06

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Solution

The third proportional to 291,578.06 and 456,413.06 is: 714,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,578.06 : 456,413.06 = 456,413.06 : x
  2. Step 2: Convert to fraction form
    291,578.06/456,413.06 = 456,413.06/x
  3. Step 3: Cross multiply
    291,578.06x = 456,413.06 × 456,413.06
  4. Step 4: Simplify right side
    291,578.06x = 208,312,883,620.63
  5. Step 5: Solve for x
    x = 208,312,883,620.63/291,578.06
  6. Step 6: Final answer
    x = 714,432.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.