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Finding the Third Proportional to 309,216.25 and 671,307.75

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Solution

The third proportional to 309,216.25 and 671,307.75 is: 1,457,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,216.25 : 671,307.75 = 671,307.75 : x
  2. Step 2: Convert to fraction form
    309,216.25/671,307.75 = 671,307.75/x
  3. Step 3: Cross multiply
    309,216.25x = 671,307.75 × 671,307.75
  4. Step 4: Simplify right side
    309,216.25x = 450,654,095,210.06
  5. Step 5: Solve for x
    x = 450,654,095,210.06/309,216.25
  6. Step 6: Final answer
    x = 1,457,407.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.