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Finding the Third Proportional to 362,475 and 777,429

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Solution

The third proportional to 362,475 and 777,429 is: 1,667,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,475 : 777,429 = 777,429 : x
  2. Step 2: Convert to fraction form
    362,475/777,429 = 777,429/x
  3. Step 3: Cross multiply
    362,475x = 777,429 × 777,429
  4. Step 4: Simplify right side
    362,475x = 604,395,850,041
  5. Step 5: Solve for x
    x = 604,395,850,041/362,475
  6. Step 6: Final answer
    x = 1,667,413.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.