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Finding the Third Proportional to 295,602.75 and 646,416

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Solution

The third proportional to 295,602.75 and 646,416 is: 1,413,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,602.75 : 646,416 = 646,416 : x
  2. Step 2: Convert to fraction form
    295,602.75/646,416 = 646,416/x
  3. Step 3: Cross multiply
    295,602.75x = 646,416 × 646,416
  4. Step 4: Simplify right side
    295,602.75x = 417,853,645,056
  5. Step 5: Solve for x
    x = 417,853,645,056/295,602.75
  6. Step 6: Final answer
    x = 1,413,564.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.