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Finding the Third Proportional to 295,496 and 608,416

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Solution

The third proportional to 295,496 and 608,416 is: 1,252,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,496 : 608,416 = 608,416 : x
  2. Step 2: Convert to fraction form
    295,496/608,416 = 608,416/x
  3. Step 3: Cross multiply
    295,496x = 608,416 × 608,416
  4. Step 4: Simplify right side
    295,496x = 370,170,029,056
  5. Step 5: Solve for x
    x = 370,170,029,056/295,496
  6. Step 6: Final answer
    x = 1,252,707.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.