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Finding the Third Proportional to 350,553 and 572,361

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Solution

The third proportional to 350,553 and 572,361 is: 934,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,553 : 572,361 = 572,361 : x
  2. Step 2: Convert to fraction form
    350,553/572,361 = 572,361/x
  3. Step 3: Cross multiply
    350,553x = 572,361 × 572,361
  4. Step 4: Simplify right side
    350,553x = 327,597,114,321
  5. Step 5: Solve for x
    x = 327,597,114,321/350,553
  6. Step 6: Final answer
    x = 934,515.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.