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Finding the Third Proportional to 351,281.25 and 761,186.25

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Solution

The third proportional to 351,281.25 and 761,186.25 is: 1,649,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,281.25 : 761,186.25 = 761,186.25 : x
  2. Step 2: Convert to fraction form
    351,281.25/761,186.25 = 761,186.25/x
  3. Step 3: Cross multiply
    351,281.25x = 761,186.25 × 761,186.25
  4. Step 4: Simplify right side
    351,281.25x = 579,404,507,189.06
  5. Step 5: Solve for x
    x = 579,404,507,189.06/351,281.25
  6. Step 6: Final answer
    x = 1,649,403.45

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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.