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Finding the Third Proportional to 532,753.88 and 947,173.88

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Solution

The third proportional to 532,753.88 and 947,173.88 is: 1,683,964.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,753.88 : 947,173.88 = 947,173.88 : x
  2. Step 2: Convert to fraction form
    532,753.88/947,173.88 = 947,173.88/x
  3. Step 3: Cross multiply
    532,753.88x = 947,173.88 × 947,173.88
  4. Step 4: Simplify right side
    532,753.88x = 897,138,349,482.52
  5. Step 5: Solve for x
    x = 897,138,349,482.52/532,753.88
  6. Step 6: Final answer
    x = 1,683,964.01

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.