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Finding the Third Proportional to 332,746 and 511,971

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Solution

The third proportional to 332,746 and 511,971 is: 787,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,746 : 511,971 = 511,971 : x
  2. Step 2: Convert to fraction form
    332,746/511,971 = 511,971/x
  3. Step 3: Cross multiply
    332,746x = 511,971 × 511,971
  4. Step 4: Simplify right side
    332,746x = 262,114,304,841
  5. Step 5: Solve for x
    x = 262,114,304,841/332,746
  6. Step 6: Final answer
    x = 787,730.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.