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Finding the Third Proportional to 601,026 and 930,213

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Solution

The third proportional to 601,026 and 930,213 is: 1,439,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,026 : 930,213 = 930,213 : x
  2. Step 2: Convert to fraction form
    601,026/930,213 = 930,213/x
  3. Step 3: Cross multiply
    601,026x = 930,213 × 930,213
  4. Step 4: Simplify right side
    601,026x = 865,296,225,369
  5. Step 5: Solve for x
    x = 865,296,225,369/601,026
  6. Step 6: Final answer
    x = 1,439,698.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.