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Finding the Third Proportional to 452,724.75 and 634,533.75

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Solution

The third proportional to 452,724.75 and 634,533.75 is: 889,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,724.75 : 634,533.75 = 634,533.75 : x
  2. Step 2: Convert to fraction form
    452,724.75/634,533.75 = 634,533.75/x
  3. Step 3: Cross multiply
    452,724.75x = 634,533.75 × 634,533.75
  4. Step 4: Simplify right side
    452,724.75x = 402,633,079,889.06
  5. Step 5: Solve for x
    x = 402,633,079,889.06/452,724.75
  6. Step 6: Final answer
    x = 889,355.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.