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Finding the Third Proportional to 295,953.75 and 652,232.25

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Solution

The third proportional to 295,953.75 and 652,232.25 is: 1,437,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,953.75 : 652,232.25 = 652,232.25 : x
  2. Step 2: Convert to fraction form
    295,953.75/652,232.25 = 652,232.25/x
  3. Step 3: Cross multiply
    295,953.75x = 652,232.25 × 652,232.25
  4. Step 4: Simplify right side
    295,953.75x = 425,406,907,940.06
  5. Step 5: Solve for x
    x = 425,406,907,940.06/295,953.75
  6. Step 6: Final answer
    x = 1,437,410.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.