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Finding the Third Proportional to 356,656 and 554,032

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Solution

The third proportional to 356,656 and 554,032 is: 860,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,656 : 554,032 = 554,032 : x
  2. Step 2: Convert to fraction form
    356,656/554,032 = 554,032/x
  3. Step 3: Cross multiply
    356,656x = 554,032 × 554,032
  4. Step 4: Simplify right side
    356,656x = 306,951,457,024
  5. Step 5: Solve for x
    x = 306,951,457,024/356,656
  6. Step 6: Final answer
    x = 860,637.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.