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Finding the Third Proportional to 550,569 and 775,336.50

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Solution

The third proportional to 550,569 and 775,336.50 is: 1,091,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,569 : 775,336.50 = 775,336.50 : x
  2. Step 2: Convert to fraction form
    550,569/775,336.50 = 775,336.50/x
  3. Step 3: Cross multiply
    550,569x = 775,336.50 × 775,336.50
  4. Step 4: Simplify right side
    550,569x = 601,146,688,232.25
  5. Step 5: Solve for x
    x = 601,146,688,232.25/550,569
  6. Step 6: Final answer
    x = 1,091,864.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.