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Finding the Third Proportional to 301,786 and 655,488

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Solution

The third proportional to 301,786 and 655,488 is: 1,423,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,786 : 655,488 = 655,488 : x
  2. Step 2: Convert to fraction form
    301,786/655,488 = 655,488/x
  3. Step 3: Cross multiply
    301,786x = 655,488 × 655,488
  4. Step 4: Simplify right side
    301,786x = 429,664,518,144
  5. Step 5: Solve for x
    x = 429,664,518,144/301,786
  6. Step 6: Final answer
    x = 1,423,739.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.