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Finding the Third Proportional to 339,030.56 and 527,153.06

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Solution

The third proportional to 339,030.56 and 527,153.06 is: 819,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,030.56 : 527,153.06 = 527,153.06 : x
  2. Step 2: Convert to fraction form
    339,030.56/527,153.06 = 527,153.06/x
  3. Step 3: Cross multiply
    339,030.56x = 527,153.06 × 527,153.06
  4. Step 4: Simplify right side
    339,030.56x = 277,890,351,303.13
  5. Step 5: Solve for x
    x = 277,890,351,303.13/339,030.56
  6. Step 6: Final answer
    x = 819,661.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.