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Finding the Third Proportional to 362,562 and 783,444

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Solution

The third proportional to 362,562 and 783,444 is: 1,692,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,562 : 783,444 = 783,444 : x
  2. Step 2: Convert to fraction form
    362,562/783,444 = 783,444/x
  3. Step 3: Cross multiply
    362,562x = 783,444 × 783,444
  4. Step 4: Simplify right side
    362,562x = 613,784,501,136
  5. Step 5: Solve for x
    x = 613,784,501,136/362,562
  6. Step 6: Final answer
    x = 1,692,909.08

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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.