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Finding the Third Proportional to 583,465.50 and 786,550.50

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Solution

The third proportional to 583,465.50 and 786,550.50 is: 1,060,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,465.50 : 786,550.50 = 786,550.50 : x
  2. Step 2: Convert to fraction form
    583,465.50/786,550.50 = 786,550.50/x
  3. Step 3: Cross multiply
    583,465.50x = 786,550.50 × 786,550.50
  4. Step 4: Simplify right side
    583,465.50x = 618,661,689,050.25
  5. Step 5: Solve for x
    x = 618,661,689,050.25/583,465.50
  6. Step 6: Final answer
    x = 1,060,322.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.