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Finding the Third Proportional to 609,574.50 and 949,264.88

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Solution

The third proportional to 609,574.50 and 949,264.88 is: 1,478,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,574.50 : 949,264.88 = 949,264.88 : x
  2. Step 2: Convert to fraction form
    609,574.50/949,264.88 = 949,264.88/x
  3. Step 3: Cross multiply
    609,574.50x = 949,264.88 × 949,264.88
  4. Step 4: Simplify right side
    609,574.50x = 901,103,802,908.77
  5. Step 5: Solve for x
    x = 901,103,802,908.77/609,574.50
  6. Step 6: Final answer
    x = 1,478,250.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.