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Finding the Third Proportional to 577,881 and 850,095

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Solution

The third proportional to 577,881 and 850,095 is: 1,250,536.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,881 : 850,095 = 850,095 : x
  2. Step 2: Convert to fraction form
    577,881/850,095 = 850,095/x
  3. Step 3: Cross multiply
    577,881x = 850,095 × 850,095
  4. Step 4: Simplify right side
    577,881x = 722,661,509,025
  5. Step 5: Solve for x
    x = 722,661,509,025/577,881
  6. Step 6: Final answer
    x = 1,250,536.89

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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.