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Finding the Third Proportional to 241,534 and 529,724

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Solution

The third proportional to 241,534 and 529,724 is: 1,161,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,534 : 529,724 = 529,724 : x
  2. Step 2: Convert to fraction form
    241,534/529,724 = 529,724/x
  3. Step 3: Cross multiply
    241,534x = 529,724 × 529,724
  4. Step 4: Simplify right side
    241,534x = 280,607,516,176
  5. Step 5: Solve for x
    x = 280,607,516,176/241,534
  6. Step 6: Final answer
    x = 1,161,772.32

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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.