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Finding the Third Proportional to 634,788 and 983,526

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Solution

The third proportional to 634,788 and 983,526 is: 1,523,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,788 : 983,526 = 983,526 : x
  2. Step 2: Convert to fraction form
    634,788/983,526 = 983,526/x
  3. Step 3: Cross multiply
    634,788x = 983,526 × 983,526
  4. Step 4: Simplify right side
    634,788x = 967,323,392,676
  5. Step 5: Solve for x
    x = 967,323,392,676/634,788
  6. Step 6: Final answer
    x = 1,523,852.68

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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.