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Finding the Third Proportional to 602,903 and 830,536

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Solution

The third proportional to 602,903 and 830,536 is: 1,144,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,903 : 830,536 = 830,536 : x
  2. Step 2: Convert to fraction form
    602,903/830,536 = 830,536/x
  3. Step 3: Cross multiply
    602,903x = 830,536 × 830,536
  4. Step 4: Simplify right side
    602,903x = 689,790,047,296
  5. Step 5: Solve for x
    x = 689,790,047,296/602,903
  6. Step 6: Final answer
    x = 1,144,114.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.