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Finding the Third Proportional to 286,516.50 and 607,179

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Solution

The third proportional to 286,516.50 and 607,179 is: 1,286,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,516.50 : 607,179 = 607,179 : x
  2. Step 2: Convert to fraction form
    286,516.50/607,179 = 607,179/x
  3. Step 3: Cross multiply
    286,516.50x = 607,179 × 607,179
  4. Step 4: Simplify right side
    286,516.50x = 368,666,338,041
  5. Step 5: Solve for x
    x = 368,666,338,041/286,516.50
  6. Step 6: Final answer
    x = 1,286,719.40

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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.