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Finding the Third Proportional to 357,878.25 and 780,063.75

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Solution

The third proportional to 357,878.25 and 780,063.75 is: 1,700,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,878.25 : 780,063.75 = 780,063.75 : x
  2. Step 2: Convert to fraction form
    357,878.25/780,063.75 = 780,063.75/x
  3. Step 3: Cross multiply
    357,878.25x = 780,063.75 × 780,063.75
  4. Step 4: Simplify right side
    357,878.25x = 608,499,454,064.06
  5. Step 5: Solve for x
    x = 608,499,454,064.06/357,878.25
  6. Step 6: Final answer
    x = 1,700,297.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.