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Finding the Third Proportional to 592,724 and 846,984

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Solution

The third proportional to 592,724 and 846,984 is: 1,210,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,724 : 846,984 = 846,984 : x
  2. Step 2: Convert to fraction form
    592,724/846,984 = 846,984/x
  3. Step 3: Cross multiply
    592,724x = 846,984 × 846,984
  4. Step 4: Simplify right side
    592,724x = 717,381,896,256
  5. Step 5: Solve for x
    x = 717,381,896,256/592,724
  6. Step 6: Final answer
    x = 1,210,313.56

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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.