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Finding the Third Proportional to 320,550.50 and 507,584

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Solution

The third proportional to 320,550.50 and 507,584 is: 803,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,550.50 : 507,584 = 507,584 : x
  2. Step 2: Convert to fraction form
    320,550.50/507,584 = 507,584/x
  3. Step 3: Cross multiply
    320,550.50x = 507,584 × 507,584
  4. Step 4: Simplify right side
    320,550.50x = 257,641,517,056
  5. Step 5: Solve for x
    x = 257,641,517,056/320,550.50
  6. Step 6: Final answer
    x = 803,747.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.