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Finding the Third Proportional to 621,727.50 and 1,341,465

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Solution

The third proportional to 621,727.50 and 1,341,465 is: 2,894,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,727.50 : 1,341,465 = 1,341,465 : x
  2. Step 2: Convert to fraction form
    621,727.50/1,341,465 = 1,341,465/x
  3. Step 3: Cross multiply
    621,727.50x = 1,341,465 × 1,341,465
  4. Step 4: Simplify right side
    621,727.50x = 1,799,528,346,225
  5. Step 5: Solve for x
    x = 1,799,528,346,225/621,727.50
  6. Step 6: Final answer
    x = 2,894,400.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.