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Finding the Third Proportional to 292,546 and 608,084

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Solution

The third proportional to 292,546 and 608,084 is: 1,263,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,546 : 608,084 = 608,084 : x
  2. Step 2: Convert to fraction form
    292,546/608,084 = 608,084/x
  3. Step 3: Cross multiply
    292,546x = 608,084 × 608,084
  4. Step 4: Simplify right side
    292,546x = 369,766,151,056
  5. Step 5: Solve for x
    x = 369,766,151,056/292,546
  6. Step 6: Final answer
    x = 1,263,959.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.