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Finding the Third Proportional to 379,516 and 592,602

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Solution

The third proportional to 379,516 and 592,602 is: 925,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,516 : 592,602 = 592,602 : x
  2. Step 2: Convert to fraction form
    379,516/592,602 = 592,602/x
  3. Step 3: Cross multiply
    379,516x = 592,602 × 592,602
  4. Step 4: Simplify right side
    379,516x = 351,177,130,404
  5. Step 5: Solve for x
    x = 351,177,130,404/379,516
  6. Step 6: Final answer
    x = 925,328.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.