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Finding the Third Proportional to 578,380.50 and 1,209,127.50

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Solution

The third proportional to 578,380.50 and 1,209,127.50 is: 2,527,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,380.50 : 1,209,127.50 = 1,209,127.50 : x
  2. Step 2: Convert to fraction form
    578,380.50/1,209,127.50 = 1,209,127.50/x
  3. Step 3: Cross multiply
    578,380.50x = 1,209,127.50 × 1,209,127.50
  4. Step 4: Simplify right side
    578,380.50x = 1,461,989,311,256.25
  5. Step 5: Solve for x
    x = 1,461,989,311,256.25/578,380.50
  6. Step 6: Final answer
    x = 2,527,729.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.