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Finding the Third Proportional to 565,389.50 and 874,330.50

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Solution

The third proportional to 565,389.50 and 874,330.50 is: 1,352,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,389.50 : 874,330.50 = 874,330.50 : x
  2. Step 2: Convert to fraction form
    565,389.50/874,330.50 = 874,330.50/x
  3. Step 3: Cross multiply
    565,389.50x = 874,330.50 × 874,330.50
  4. Step 4: Simplify right side
    565,389.50x = 764,453,823,230.25
  5. Step 5: Solve for x
    x = 764,453,823,230.25/565,389.50
  6. Step 6: Final answer
    x = 1,352,083.52

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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.