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Finding the Third Proportional to 338,088.94 and 713,903.44

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Solution

The third proportional to 338,088.94 and 713,903.44 is: 1,507,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,088.94 : 713,903.44 = 713,903.44 : x
  2. Step 2: Convert to fraction form
    338,088.94/713,903.44 = 713,903.44/x
  3. Step 3: Cross multiply
    338,088.94x = 713,903.44 × 713,903.44
  4. Step 4: Simplify right side
    338,088.94x = 509,658,118,074.32
  5. Step 5: Solve for x
    x = 509,658,118,074.32/338,088.94
  6. Step 6: Final answer
    x = 1,507,467.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.