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Finding the Third Proportional to 362,346 and 777,288

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Solution

The third proportional to 362,346 and 777,288 is: 1,667,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,346 : 777,288 = 777,288 : x
  2. Step 2: Convert to fraction form
    362,346/777,288 = 777,288/x
  3. Step 3: Cross multiply
    362,346x = 777,288 × 777,288
  4. Step 4: Simplify right side
    362,346x = 604,176,634,944
  5. Step 5: Solve for x
    x = 604,176,634,944/362,346
  6. Step 6: Final answer
    x = 1,667,402.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.