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Finding the Third Proportional to 264,596 and 409,820

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Solution

The third proportional to 264,596 and 409,820 is: 634,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,596 : 409,820 = 409,820 : x
  2. Step 2: Convert to fraction form
    264,596/409,820 = 409,820/x
  3. Step 3: Cross multiply
    264,596x = 409,820 × 409,820
  4. Step 4: Simplify right side
    264,596x = 167,952,432,400
  5. Step 5: Solve for x
    x = 167,952,432,400/264,596
  6. Step 6: Final answer
    x = 634,750.46

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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.