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Finding the Third Proportional to 241,284 and 522,283

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Solution

The third proportional to 241,284 and 522,283 is: 1,130,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,284 : 522,283 = 522,283 : x
  2. Step 2: Convert to fraction form
    241,284/522,283 = 522,283/x
  3. Step 3: Cross multiply
    241,284x = 522,283 × 522,283
  4. Step 4: Simplify right side
    241,284x = 272,779,532,089
  5. Step 5: Solve for x
    x = 272,779,532,089/241,284
  6. Step 6: Final answer
    x = 1,130,533.03

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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.