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Finding the Third Proportional to 362,559 and 783,438

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Solution

The third proportional to 362,559 and 783,438 is: 1,692,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,559 : 783,438 = 783,438 : x
  2. Step 2: Convert to fraction form
    362,559/783,438 = 783,438/x
  3. Step 3: Cross multiply
    362,559x = 783,438 × 783,438
  4. Step 4: Simplify right side
    362,559x = 613,775,099,844
  5. Step 5: Solve for x
    x = 613,775,099,844/362,559
  6. Step 6: Final answer
    x = 1,692,897.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.