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Finding the Third Proportional to 272,760.75 and 596,308.50

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Solution

The third proportional to 272,760.75 and 596,308.50 is: 1,303,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,760.75 : 596,308.50 = 596,308.50 : x
  2. Step 2: Convert to fraction form
    272,760.75/596,308.50 = 596,308.50/x
  3. Step 3: Cross multiply
    272,760.75x = 596,308.50 × 596,308.50
  4. Step 4: Simplify right side
    272,760.75x = 355,583,827,172.25
  5. Step 5: Solve for x
    x = 355,583,827,172.25/272,760.75
  6. Step 6: Final answer
    x = 1,303,647.34

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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.