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Finding the Third Proportional to 294,364 and 655,346

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Solution

The third proportional to 294,364 and 655,346 is: 1,459,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,364 : 655,346 = 655,346 : x
  2. Step 2: Convert to fraction form
    294,364/655,346 = 655,346/x
  3. Step 3: Cross multiply
    294,364x = 655,346 × 655,346
  4. Step 4: Simplify right side
    294,364x = 429,478,379,716
  5. Step 5: Solve for x
    x = 429,478,379,716/294,364
  6. Step 6: Final answer
    x = 1,459,004.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.