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Finding the Third Proportional to 334,219.50 and 501,248.25

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Solution

The third proportional to 334,219.50 and 501,248.25 is: 751,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,219.50 : 501,248.25 = 501,248.25 : x
  2. Step 2: Convert to fraction form
    334,219.50/501,248.25 = 501,248.25/x
  3. Step 3: Cross multiply
    334,219.50x = 501,248.25 × 501,248.25
  4. Step 4: Simplify right side
    334,219.50x = 251,249,808,128.06
  5. Step 5: Solve for x
    x = 251,249,808,128.06/334,219.50
  6. Step 6: Final answer
    x = 751,750.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.