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Finding the Third Proportional to 326,055.38 and 695,444.63

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Solution

The third proportional to 326,055.38 and 695,444.63 is: 1,483,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,055.38 : 695,444.63 = 695,444.63 : x
  2. Step 2: Convert to fraction form
    326,055.38/695,444.63 = 695,444.63/x
  3. Step 3: Cross multiply
    326,055.38x = 695,444.63 × 695,444.63
  4. Step 4: Simplify right side
    326,055.38x = 483,643,226,441.39
  5. Step 5: Solve for x
    x = 483,643,226,441.39/326,055.38
  6. Step 6: Final answer
    x = 1,483,316.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.