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Finding the Third Proportional to 332,000 and 507,720

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Solution

The third proportional to 332,000 and 507,720 is: 776,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,000 : 507,720 = 507,720 : x
  2. Step 2: Convert to fraction form
    332,000/507,720 = 507,720/x
  3. Step 3: Cross multiply
    332,000x = 507,720 × 507,720
  4. Step 4: Simplify right side
    332,000x = 257,779,598,400
  5. Step 5: Solve for x
    x = 257,779,598,400/332,000
  6. Step 6: Final answer
    x = 776,444.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.