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Finding the Third Proportional to 592,715 and 846,976

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Solution

The third proportional to 592,715 and 846,976 is: 1,210,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,715 : 846,976 = 846,976 : x
  2. Step 2: Convert to fraction form
    592,715/846,976 = 846,976/x
  3. Step 3: Cross multiply
    592,715x = 846,976 × 846,976
  4. Step 4: Simplify right side
    592,715x = 717,368,344,576
  5. Step 5: Solve for x
    x = 717,368,344,576/592,715
  6. Step 6: Final answer
    x = 1,210,309.08

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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.