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Finding the Third Proportional to 698,897 and 956,385

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Solution

The third proportional to 698,897 and 956,385 is: 1,308,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,897 : 956,385 = 956,385 : x
  2. Step 2: Convert to fraction form
    698,897/956,385 = 956,385/x
  3. Step 3: Cross multiply
    698,897x = 956,385 × 956,385
  4. Step 4: Simplify right side
    698,897x = 914,672,268,225
  5. Step 5: Solve for x
    x = 914,672,268,225/698,897
  6. Step 6: Final answer
    x = 1,308,736.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.