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Finding the Third Proportional to 346,059 and 523,702.13

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Solution

The third proportional to 346,059 and 523,702.13 is: 792,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,059 : 523,702.13 = 523,702.13 : x
  2. Step 2: Convert to fraction form
    346,059/523,702.13 = 523,702.13/x
  3. Step 3: Cross multiply
    346,059x = 523,702.13 × 523,702.13
  4. Step 4: Simplify right side
    346,059x = 274,263,915,729.52
  5. Step 5: Solve for x
    x = 274,263,915,729.52/346,059
  6. Step 6: Final answer
    x = 792,535.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.