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Finding the Third Proportional to 349,740 and 572,521

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Solution

The third proportional to 349,740 and 572,521 is: 937,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,740 : 572,521 = 572,521 : x
  2. Step 2: Convert to fraction form
    349,740/572,521 = 572,521/x
  3. Step 3: Cross multiply
    349,740x = 572,521 × 572,521
  4. Step 4: Simplify right side
    349,740x = 327,780,295,441
  5. Step 5: Solve for x
    x = 327,780,295,441/349,740
  6. Step 6: Final answer
    x = 937,211.34

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.