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Finding the Third Proportional to 647,365.69 and 980,045.53

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Solution

The third proportional to 647,365.69 and 980,045.53 is: 1,483,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,365.69 : 980,045.53 = 980,045.53 : x
  2. Step 2: Convert to fraction form
    647,365.69/980,045.53 = 980,045.53/x
  3. Step 3: Cross multiply
    647,365.69x = 980,045.53 × 980,045.53
  4. Step 4: Simplify right side
    647,365.69x = 960,489,243,323.10
  5. Step 5: Solve for x
    x = 960,489,243,323.10/647,365.69
  6. Step 6: Final answer
    x = 1,483,688.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.