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Finding the Third Proportional to 269,026 and 433,473

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Solution

The third proportional to 269,026 and 433,473 is: 698,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,026 : 433,473 = 433,473 : x
  2. Step 2: Convert to fraction form
    269,026/433,473 = 433,473/x
  3. Step 3: Cross multiply
    269,026x = 433,473 × 433,473
  4. Step 4: Simplify right side
    269,026x = 187,898,841,729
  5. Step 5: Solve for x
    x = 187,898,841,729/269,026
  6. Step 6: Final answer
    x = 698,441.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.