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Finding the Third Proportional to 526,155.75 and 769,550.63

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Solution

The third proportional to 526,155.75 and 769,550.63 is: 1,125,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,155.75 : 769,550.63 = 769,550.63 : x
  2. Step 2: Convert to fraction form
    526,155.75/769,550.63 = 769,550.63/x
  3. Step 3: Cross multiply
    526,155.75x = 769,550.63 × 769,550.63
  4. Step 4: Simplify right side
    526,155.75x = 592,208,164,437.89
  5. Step 5: Solve for x
    x = 592,208,164,437.89/526,155.75
  6. Step 6: Final answer
    x = 1,125,537.76

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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.