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Finding the Third Proportional to 578,461.50 and 1,254,244.50

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Solution

The third proportional to 578,461.50 and 1,254,244.50 is: 2,719,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,461.50 : 1,254,244.50 = 1,254,244.50 : x
  2. Step 2: Convert to fraction form
    578,461.50/1,254,244.50 = 1,254,244.50/x
  3. Step 3: Cross multiply
    578,461.50x = 1,254,244.50 × 1,254,244.50
  4. Step 4: Simplify right side
    578,461.50x = 1,573,129,265,780.25
  5. Step 5: Solve for x
    x = 1,573,129,265,780.25/578,461.50
  6. Step 6: Final answer
    x = 2,719,505.56

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Why These Related Problems?

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