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Finding the Third Proportional to 698,769 and 983,758

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Solution

The third proportional to 698,769 and 983,758 is: 1,384,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,769 : 983,758 = 983,758 : x
  2. Step 2: Convert to fraction form
    698,769/983,758 = 983,758/x
  3. Step 3: Cross multiply
    698,769x = 983,758 × 983,758
  4. Step 4: Simplify right side
    698,769x = 967,779,802,564
  5. Step 5: Solve for x
    x = 967,779,802,564/698,769
  6. Step 6: Final answer
    x = 1,384,978.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.