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Finding the Third Proportional to 431,043.75 and 634,037.63

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Solution

The third proportional to 431,043.75 and 634,037.63 is: 932,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,043.75 : 634,037.63 = 634,037.63 : x
  2. Step 2: Convert to fraction form
    431,043.75/634,037.63 = 634,037.63/x
  3. Step 3: Cross multiply
    431,043.75x = 634,037.63 × 634,037.63
  4. Step 4: Simplify right side
    431,043.75x = 402,003,709,915.64
  5. Step 5: Solve for x
    x = 402,003,709,915.64/431,043.75
  6. Step 6: Final answer
    x = 932,628.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.