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Finding the Third Proportional to 286,482.38 and 607,115.25

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Solution

The third proportional to 286,482.38 and 607,115.25 is: 1,286,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,482.38 : 607,115.25 = 607,115.25 : x
  2. Step 2: Convert to fraction form
    286,482.38/607,115.25 = 607,115.25/x
  3. Step 3: Cross multiply
    286,482.38x = 607,115.25 × 607,115.25
  4. Step 4: Simplify right side
    286,482.38x = 368,588,926,782.56
  5. Step 5: Solve for x
    x = 368,588,926,782.56/286,482.38
  6. Step 6: Final answer
    x = 1,286,602.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.