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Finding the Third Proportional to 356,645 and 554,011

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Solution

The third proportional to 356,645 and 554,011 is: 860,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,645 : 554,011 = 554,011 : x
  2. Step 2: Convert to fraction form
    356,645/554,011 = 554,011/x
  3. Step 3: Cross multiply
    356,645x = 554,011 × 554,011
  4. Step 4: Simplify right side
    356,645x = 306,928,188,121
  5. Step 5: Solve for x
    x = 306,928,188,121/356,645
  6. Step 6: Final answer
    x = 860,598.60

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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.