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Finding the Third Proportional to 361,217 and 572,444

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Solution

The third proportional to 361,217 and 572,444 is: 907,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,217 : 572,444 = 572,444 : x
  2. Step 2: Convert to fraction form
    361,217/572,444 = 572,444/x
  3. Step 3: Cross multiply
    361,217x = 572,444 × 572,444
  4. Step 4: Simplify right side
    361,217x = 327,692,133,136
  5. Step 5: Solve for x
    x = 327,692,133,136/361,217
  6. Step 6: Final answer
    x = 907,189.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.