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Finding the Third Proportional to 321,653.63 and 473,123.63

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Solution

The third proportional to 321,653.63 and 473,123.63 is: 695,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,653.63 : 473,123.63 = 473,123.63 : x
  2. Step 2: Convert to fraction form
    321,653.63/473,123.63 = 473,123.63/x
  3. Step 3: Cross multiply
    321,653.63x = 473,123.63 × 473,123.63
  4. Step 4: Simplify right side
    321,653.63x = 223,845,964,533.14
  5. Step 5: Solve for x
    x = 223,845,964,533.14/321,653.63
  6. Step 6: Final answer
    x = 695,922.41

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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.