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Finding the Third Proportional to 369,456 and 594,984

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Solution

The third proportional to 369,456 and 594,984 is: 958,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,456 : 594,984 = 594,984 : x
  2. Step 2: Convert to fraction form
    369,456/594,984 = 594,984/x
  3. Step 3: Cross multiply
    369,456x = 594,984 × 594,984
  4. Step 4: Simplify right side
    369,456x = 354,005,960,256
  5. Step 5: Solve for x
    x = 354,005,960,256/369,456
  6. Step 6: Final answer
    x = 958,181.65

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.