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Finding the Third Proportional to 231,724 and 507,740

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Solution

The third proportional to 231,724 and 507,740 is: 1,112,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,724 : 507,740 = 507,740 : x
  2. Step 2: Convert to fraction form
    231,724/507,740 = 507,740/x
  3. Step 3: Cross multiply
    231,724x = 507,740 × 507,740
  4. Step 4: Simplify right side
    231,724x = 257,799,907,600
  5. Step 5: Solve for x
    x = 257,799,907,600/231,724
  6. Step 6: Final answer
    x = 1,112,530.03

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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.