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Finding the Third Proportional to 556,413.75 and 837,230.63

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Solution

The third proportional to 556,413.75 and 837,230.63 is: 1,259,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,413.75 : 837,230.63 = 837,230.63 : x
  2. Step 2: Convert to fraction form
    556,413.75/837,230.63 = 837,230.63/x
  3. Step 3: Cross multiply
    556,413.75x = 837,230.63 × 837,230.63
  4. Step 4: Simplify right side
    556,413.75x = 700,955,119,437.89
  5. Step 5: Solve for x
    x = 700,955,119,437.89/556,413.75
  6. Step 6: Final answer
    x = 1,259,773.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.