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Finding the Third Proportional to 277,526 and 606,416

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Solution

The third proportional to 277,526 and 606,416 is: 1,325,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,526 : 606,416 = 606,416 : x
  2. Step 2: Convert to fraction form
    277,526/606,416 = 606,416/x
  3. Step 3: Cross multiply
    277,526x = 606,416 × 606,416
  4. Step 4: Simplify right side
    277,526x = 367,740,365,056
  5. Step 5: Solve for x
    x = 367,740,365,056/277,526
  6. Step 6: Final answer
    x = 1,325,066.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.