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Finding the Third Proportional to 797,703.75 and 1,268,482.50

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Solution

The third proportional to 797,703.75 and 1,268,482.50 is: 2,017,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,703.75 : 1,268,482.50 = 1,268,482.50 : x
  2. Step 2: Convert to fraction form
    797,703.75/1,268,482.50 = 1,268,482.50/x
  3. Step 3: Cross multiply
    797,703.75x = 1,268,482.50 × 1,268,482.50
  4. Step 4: Simplify right side
    797,703.75x = 1,609,047,852,806.25
  5. Step 5: Solve for x
    x = 1,609,047,852,806.25/797,703.75
  6. Step 6: Final answer
    x = 2,017,099.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.