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Finding the Third Proportional to 309,382 and 492,292

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Solution

The third proportional to 309,382 and 492,292 is: 783,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,382 : 492,292 = 492,292 : x
  2. Step 2: Convert to fraction form
    309,382/492,292 = 492,292/x
  3. Step 3: Cross multiply
    309,382x = 492,292 × 492,292
  4. Step 4: Simplify right side
    309,382x = 242,351,413,264
  5. Step 5: Solve for x
    x = 242,351,413,264/309,382
  6. Step 6: Final answer
    x = 783,340.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.