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Finding the Third Proportional to 528,993 and 770,841

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Solution

The third proportional to 528,993 and 770,841 is: 1,123,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,993 : 770,841 = 770,841 : x
  2. Step 2: Convert to fraction form
    528,993/770,841 = 770,841/x
  3. Step 3: Cross multiply
    528,993x = 770,841 × 770,841
  4. Step 4: Simplify right side
    528,993x = 594,195,847,281
  5. Step 5: Solve for x
    x = 594,195,847,281/528,993
  6. Step 6: Final answer
    x = 1,123,258.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.