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Finding the Third Proportional to 506,631 and 776,794.50

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Solution

The third proportional to 506,631 and 776,794.50 is: 1,191,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,631 : 776,794.50 = 776,794.50 : x
  2. Step 2: Convert to fraction form
    506,631/776,794.50 = 776,794.50/x
  3. Step 3: Cross multiply
    506,631x = 776,794.50 × 776,794.50
  4. Step 4: Simplify right side
    506,631x = 603,409,695,230.25
  5. Step 5: Solve for x
    x = 603,409,695,230.25/506,631
  6. Step 6: Final answer
    x = 1,191,024.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.