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Finding the Third Proportional to 592,424 and 846,578

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Solution

The third proportional to 592,424 and 846,578 is: 1,209,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,424 : 846,578 = 846,578 : x
  2. Step 2: Convert to fraction form
    592,424/846,578 = 846,578/x
  3. Step 3: Cross multiply
    592,424x = 846,578 × 846,578
  4. Step 4: Simplify right side
    592,424x = 716,694,310,084
  5. Step 5: Solve for x
    x = 716,694,310,084/592,424
  6. Step 6: Final answer
    x = 1,209,765.83

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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.