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Finding the Third Proportional to 562,922 and 841,573

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Solution

The third proportional to 562,922 and 841,573 is: 1,258,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,922 : 841,573 = 841,573 : x
  2. Step 2: Convert to fraction form
    562,922/841,573 = 841,573/x
  3. Step 3: Cross multiply
    562,922x = 841,573 × 841,573
  4. Step 4: Simplify right side
    562,922x = 708,245,114,329
  5. Step 5: Solve for x
    x = 708,245,114,329/562,922
  6. Step 6: Final answer
    x = 1,258,158.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.