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Finding the Third Proportional to 565,384.50 and 874,323

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Solution

The third proportional to 565,384.50 and 874,323 is: 1,352,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,384.50 : 874,323 = 874,323 : x
  2. Step 2: Convert to fraction form
    565,384.50/874,323 = 874,323/x
  3. Step 3: Cross multiply
    565,384.50x = 874,323 × 874,323
  4. Step 4: Simplify right side
    565,384.50x = 764,440,708,329
  5. Step 5: Solve for x
    x = 764,440,708,329/565,384.50
  6. Step 6: Final answer
    x = 1,352,072.28

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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.