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Finding the Third Proportional to 523,618.50 and 1,127,382

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Solution

The third proportional to 523,618.50 and 1,127,382 is: 2,427,320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,618.50 : 1,127,382 = 1,127,382 : x
  2. Step 2: Convert to fraction form
    523,618.50/1,127,382 = 1,127,382/x
  3. Step 3: Cross multiply
    523,618.50x = 1,127,382 × 1,127,382
  4. Step 4: Simplify right side
    523,618.50x = 1,270,990,173,924
  5. Step 5: Solve for x
    x = 1,270,990,173,924/523,618.50
  6. Step 6: Final answer
    x = 2,427,320.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.