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Finding the Third Proportional to 247,603.50 and 514,577.81

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Solution

The third proportional to 247,603.50 and 514,577.81 is: 1,069,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,603.50 : 514,577.81 = 514,577.81 : x
  2. Step 2: Convert to fraction form
    247,603.50/514,577.81 = 514,577.81/x
  3. Step 3: Cross multiply
    247,603.50x = 514,577.81 × 514,577.81
  4. Step 4: Simplify right side
    247,603.50x = 264,790,325,117.29
  5. Step 5: Solve for x
    x = 264,790,325,117.29/247,603.50
  6. Step 6: Final answer
    x = 1,069,412.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.