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Finding the Third Proportional to 598,913 and 880,855

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Solution

The third proportional to 598,913 and 880,855 is: 1,295,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,913 : 880,855 = 880,855 : x
  2. Step 2: Convert to fraction form
    598,913/880,855 = 880,855/x
  3. Step 3: Cross multiply
    598,913x = 880,855 × 880,855
  4. Step 4: Simplify right side
    598,913x = 775,905,531,025
  5. Step 5: Solve for x
    x = 775,905,531,025/598,913
  6. Step 6: Final answer
    x = 1,295,522.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.