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Finding the Third Proportional to 295,614.56 and 450,802.97

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Solution

The third proportional to 295,614.56 and 450,802.97 is: 687,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,614.56 : 450,802.97 = 450,802.97 : x
  2. Step 2: Convert to fraction form
    295,614.56/450,802.97 = 450,802.97/x
  3. Step 3: Cross multiply
    295,614.56x = 450,802.97 × 450,802.97
  4. Step 4: Simplify right side
    295,614.56x = 203,223,316,633.81
  5. Step 5: Solve for x
    x = 203,223,316,633.81/295,614.56
  6. Step 6: Final answer
    x = 687,460.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.