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Finding the Third Proportional to 581,176.50 and 1,254,099

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Solution

The third proportional to 581,176.50 and 1,254,099 is: 2,706,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,176.50 : 1,254,099 = 1,254,099 : x
  2. Step 2: Convert to fraction form
    581,176.50/1,254,099 = 1,254,099/x
  3. Step 3: Cross multiply
    581,176.50x = 1,254,099 × 1,254,099
  4. Step 4: Simplify right side
    581,176.50x = 1,572,764,301,801
  5. Step 5: Solve for x
    x = 1,572,764,301,801/581,176.50
  6. Step 6: Final answer
    x = 2,706,173.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.