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Finding the Third Proportional to 469,956 and 669,942

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Solution

The third proportional to 469,956 and 669,942 is: 955,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,956 : 669,942 = 669,942 : x
  2. Step 2: Convert to fraction form
    469,956/669,942 = 669,942/x
  3. Step 3: Cross multiply
    469,956x = 669,942 × 669,942
  4. Step 4: Simplify right side
    469,956x = 448,822,283,364
  5. Step 5: Solve for x
    x = 448,822,283,364/469,956
  6. Step 6: Final answer
    x = 955,030.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.