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Finding the Third Proportional to 634,761 and 983,488.50

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Solution

The third proportional to 634,761 and 983,488.50 is: 1,523,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,761 : 983,488.50 = 983,488.50 : x
  2. Step 2: Convert to fraction form
    634,761/983,488.50 = 983,488.50/x
  3. Step 3: Cross multiply
    634,761x = 983,488.50 × 983,488.50
  4. Step 4: Simplify right side
    634,761x = 967,249,629,632.25
  5. Step 5: Solve for x
    x = 967,249,629,632.25/634,761
  6. Step 6: Final answer
    x = 1,523,801.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.