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Finding the Third Proportional to 309,416 and 492,341

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Solution

The third proportional to 309,416 and 492,341 is: 783,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,416 : 492,341 = 492,341 : x
  2. Step 2: Convert to fraction form
    309,416/492,341 = 492,341/x
  3. Step 3: Cross multiply
    309,416x = 492,341 × 492,341
  4. Step 4: Simplify right side
    309,416x = 242,399,660,281
  5. Step 5: Solve for x
    x = 242,399,660,281/309,416
  6. Step 6: Final answer
    x = 783,410.23

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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.