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Finding the Third Proportional to 332,584 and 507,178

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Solution

The third proportional to 332,584 and 507,178 is: 773,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,584 : 507,178 = 507,178 : x
  2. Step 2: Convert to fraction form
    332,584/507,178 = 507,178/x
  3. Step 3: Cross multiply
    332,584x = 507,178 × 507,178
  4. Step 4: Simplify right side
    332,584x = 257,229,523,684
  5. Step 5: Solve for x
    x = 257,229,523,684/332,584
  6. Step 6: Final answer
    x = 773,427.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.