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Finding the Third Proportional to 509,302 and 1,079,316

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Solution

The third proportional to 509,302 and 1,079,316 is: 2,287,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,302 : 1,079,316 = 1,079,316 : x
  2. Step 2: Convert to fraction form
    509,302/1,079,316 = 1,079,316/x
  3. Step 3: Cross multiply
    509,302x = 1,079,316 × 1,079,316
  4. Step 4: Simplify right side
    509,302x = 1,164,923,027,856
  5. Step 5: Solve for x
    x = 1,164,923,027,856/509,302
  6. Step 6: Final answer
    x = 2,287,293.25

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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.