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Finding the Third Proportional to 353,366 and 562,829

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Solution

The third proportional to 353,366 and 562,829 is: 896,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,366 : 562,829 = 562,829 : x
  2. Step 2: Convert to fraction form
    353,366/562,829 = 562,829/x
  3. Step 3: Cross multiply
    353,366x = 562,829 × 562,829
  4. Step 4: Simplify right side
    353,366x = 316,776,483,241
  5. Step 5: Solve for x
    x = 316,776,483,241/353,366
  6. Step 6: Final answer
    x = 896,454.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.