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Finding the Third Proportional to 361,232 and 572,463

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Solution

The third proportional to 361,232 and 572,463 is: 907,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,232 : 572,463 = 572,463 : x
  2. Step 2: Convert to fraction form
    361,232/572,463 = 572,463/x
  3. Step 3: Cross multiply
    361,232x = 572,463 × 572,463
  4. Step 4: Simplify right side
    361,232x = 327,713,886,369
  5. Step 5: Solve for x
    x = 327,713,886,369/361,232
  6. Step 6: Final answer
    x = 907,211.67

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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.