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Finding the Third Proportional to 377,969 and 544,597

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Solution

The third proportional to 377,969 and 544,597 is: 784,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,969 : 544,597 = 544,597 : x
  2. Step 2: Convert to fraction form
    377,969/544,597 = 544,597/x
  3. Step 3: Cross multiply
    377,969x = 544,597 × 544,597
  4. Step 4: Simplify right side
    377,969x = 296,585,892,409
  5. Step 5: Solve for x
    x = 296,585,892,409/377,969
  6. Step 6: Final answer
    x = 784,683.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.