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Finding the Third Proportional to 657,483.75 and 983,578.50

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Solution

The third proportional to 657,483.75 and 983,578.50 is: 1,471,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,483.75 : 983,578.50 = 983,578.50 : x
  2. Step 2: Convert to fraction form
    657,483.75/983,578.50 = 983,578.50/x
  3. Step 3: Cross multiply
    657,483.75x = 983,578.50 × 983,578.50
  4. Step 4: Simplify right side
    657,483.75x = 967,426,665,662.25
  5. Step 5: Solve for x
    x = 967,426,665,662.25/657,483.75
  6. Step 6: Final answer
    x = 1,471,407.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.