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Finding the Third Proportional to 592,442 and 846,600

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Solution

The third proportional to 592,442 and 846,600 is: 1,209,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,442 : 846,600 = 846,600 : x
  2. Step 2: Convert to fraction form
    592,442/846,600 = 846,600/x
  3. Step 3: Cross multiply
    592,442x = 846,600 × 846,600
  4. Step 4: Simplify right side
    592,442x = 716,731,560,000
  5. Step 5: Solve for x
    x = 716,731,560,000/592,442
  6. Step 6: Final answer
    x = 1,209,791.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.