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Finding the Third Proportional to 202,563 and 439,483.50

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Solution

The third proportional to 202,563 and 439,483.50 is: 953,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,563 : 439,483.50 = 439,483.50 : x
  2. Step 2: Convert to fraction form
    202,563/439,483.50 = 439,483.50/x
  3. Step 3: Cross multiply
    202,563x = 439,483.50 × 439,483.50
  4. Step 4: Simplify right side
    202,563x = 193,145,746,772.25
  5. Step 5: Solve for x
    x = 193,145,746,772.25/202,563
  6. Step 6: Final answer
    x = 953,509.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.