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Finding the Third Proportional to 362,076 and 506,444

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Solution

The third proportional to 362,076 and 506,444 is: 708,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,076 : 506,444 = 506,444 : x
  2. Step 2: Convert to fraction form
    362,076/506,444 = 506,444/x
  3. Step 3: Cross multiply
    362,076x = 506,444 × 506,444
  4. Step 4: Simplify right side
    362,076x = 256,485,525,136
  5. Step 5: Solve for x
    x = 256,485,525,136/362,076
  6. Step 6: Final answer
    x = 708,374.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.