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Finding the Third Proportional to 362,076 and 548,946

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Solution

The third proportional to 362,076 and 548,946 is: 832,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,076 : 548,946 = 548,946 : x
  2. Step 2: Convert to fraction form
    362,076/548,946 = 548,946/x
  3. Step 3: Cross multiply
    362,076x = 548,946 × 548,946
  4. Step 4: Simplify right side
    362,076x = 301,341,710,916
  5. Step 5: Solve for x
    x = 301,341,710,916/362,076
  6. Step 6: Final answer
    x = 832,260.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.