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Finding the Third Proportional to 305,798 and 662,624

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Solution

The third proportional to 305,798 and 662,624 is: 1,435,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,798 : 662,624 = 662,624 : x
  2. Step 2: Convert to fraction form
    305,798/662,624 = 662,624/x
  3. Step 3: Cross multiply
    305,798x = 662,624 × 662,624
  4. Step 4: Simplify right side
    305,798x = 439,070,565,376
  5. Step 5: Solve for x
    x = 439,070,565,376/305,798
  6. Step 6: Final answer
    x = 1,435,818.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.