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Finding the Third Proportional to 602,589.38 and 933,818.63

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Solution

The third proportional to 602,589.38 and 933,818.63 is: 1,447,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,589.38 : 933,818.63 = 933,818.63 : x
  2. Step 2: Convert to fraction form
    602,589.38/933,818.63 = 933,818.63/x
  3. Step 3: Cross multiply
    602,589.38x = 933,818.63 × 933,818.63
  4. Step 4: Simplify right side
    602,589.38x = 872,017,224,396.89
  5. Step 5: Solve for x
    x = 872,017,224,396.89/602,589.38
  6. Step 6: Final answer
    x = 1,447,116.83

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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.