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Finding the Third Proportional to 191,792 and 418,580

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Solution

The third proportional to 191,792 and 418,580 is: 913,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,792 : 418,580 = 418,580 : x
  2. Step 2: Convert to fraction form
    191,792/418,580 = 418,580/x
  3. Step 3: Cross multiply
    191,792x = 418,580 × 418,580
  4. Step 4: Simplify right side
    191,792x = 175,209,216,400
  5. Step 5: Solve for x
    x = 175,209,216,400/191,792
  6. Step 6: Final answer
    x = 913,537.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.