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Finding the Third Proportional to 443,236 and 602,646

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Solution

The third proportional to 443,236 and 602,646 is: 819,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,236 : 602,646 = 602,646 : x
  2. Step 2: Convert to fraction form
    443,236/602,646 = 602,646/x
  3. Step 3: Cross multiply
    443,236x = 602,646 × 602,646
  4. Step 4: Simplify right side
    443,236x = 363,182,201,316
  5. Step 5: Solve for x
    x = 363,182,201,316/443,236
  6. Step 6: Final answer
    x = 819,387.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.