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Finding the Third Proportional to 332,730 and 511,946

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Solution

The third proportional to 332,730 and 511,946 is: 787,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,730 : 511,946 = 511,946 : x
  2. Step 2: Convert to fraction form
    332,730/511,946 = 511,946/x
  3. Step 3: Cross multiply
    332,730x = 511,946 × 511,946
  4. Step 4: Simplify right side
    332,730x = 262,088,706,916
  5. Step 5: Solve for x
    x = 262,088,706,916/332,730
  6. Step 6: Final answer
    x = 787,691.84

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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.