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Finding the Third Proportional to 295,413.75 and 458,294.63

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Solution

The third proportional to 295,413.75 and 458,294.63 is: 710,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,413.75 : 458,294.63 = 458,294.63 : x
  2. Step 2: Convert to fraction form
    295,413.75/458,294.63 = 458,294.63/x
  3. Step 3: Cross multiply
    295,413.75x = 458,294.63 × 458,294.63
  4. Step 4: Simplify right side
    295,413.75x = 210,033,963,303.89
  5. Step 5: Solve for x
    x = 210,033,963,303.89/295,413.75
  6. Step 6: Final answer
    x = 710,982.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.