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Finding the Third Proportional to 576,258 and 832,521

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Solution

The third proportional to 576,258 and 832,521 is: 1,202,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,258 : 832,521 = 832,521 : x
  2. Step 2: Convert to fraction form
    576,258/832,521 = 832,521/x
  3. Step 3: Cross multiply
    576,258x = 832,521 × 832,521
  4. Step 4: Simplify right side
    576,258x = 693,091,215,441
  5. Step 5: Solve for x
    x = 693,091,215,441/576,258
  6. Step 6: Final answer
    x = 1,202,744.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.