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Finding the Third Proportional to 344,770 and 535,731

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Solution

The third proportional to 344,770 and 535,731 is: 832,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,770 : 535,731 = 535,731 : x
  2. Step 2: Convert to fraction form
    344,770/535,731 = 535,731/x
  3. Step 3: Cross multiply
    344,770x = 535,731 × 535,731
  4. Step 4: Simplify right side
    344,770x = 287,007,704,361
  5. Step 5: Solve for x
    x = 287,007,704,361/344,770
  6. Step 6: Final answer
    x = 832,461.36

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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.