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Finding the Third Proportional to 562,024 and 834,346

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Solution

The third proportional to 562,024 and 834,346 is: 1,238,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,024 : 834,346 = 834,346 : x
  2. Step 2: Convert to fraction form
    562,024/834,346 = 834,346/x
  3. Step 3: Cross multiply
    562,024x = 834,346 × 834,346
  4. Step 4: Simplify right side
    562,024x = 696,133,247,716
  5. Step 5: Solve for x
    x = 696,133,247,716/562,024
  6. Step 6: Final answer
    x = 1,238,618.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.