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Finding the Third Proportional to 602,213 and 901,321

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Solution

The third proportional to 602,213 and 901,321 is: 1,348,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,213 : 901,321 = 901,321 : x
  2. Step 2: Convert to fraction form
    602,213/901,321 = 901,321/x
  3. Step 3: Cross multiply
    602,213x = 901,321 × 901,321
  4. Step 4: Simplify right side
    602,213x = 812,379,545,041
  5. Step 5: Solve for x
    x = 812,379,545,041/602,213
  6. Step 6: Final answer
    x = 1,348,990.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.