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Finding the Third Proportional to 604,842 and 928,255

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Solution

The third proportional to 604,842 and 928,255 is: 1,424,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,842 : 928,255 = 928,255 : x
  2. Step 2: Convert to fraction form
    604,842/928,255 = 928,255/x
  3. Step 3: Cross multiply
    604,842x = 928,255 × 928,255
  4. Step 4: Simplify right side
    604,842x = 861,657,345,025
  5. Step 5: Solve for x
    x = 861,657,345,025/604,842
  6. Step 6: Final answer
    x = 1,424,599.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.