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Finding the Third Proportional to 286,501 and 607,152

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Solution

The third proportional to 286,501 and 607,152 is: 1,286,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,501 : 607,152 = 607,152 : x
  2. Step 2: Convert to fraction form
    286,501/607,152 = 607,152/x
  3. Step 3: Cross multiply
    286,501x = 607,152 × 607,152
  4. Step 4: Simplify right side
    286,501x = 368,633,551,104
  5. Step 5: Solve for x
    x = 368,633,551,104/286,501
  6. Step 6: Final answer
    x = 1,286,674.57

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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.