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Finding the Third Proportional to 407,111 and 562,552

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Solution

The third proportional to 407,111 and 562,552 is: 777,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,111 : 562,552 = 562,552 : x
  2. Step 2: Convert to fraction form
    407,111/562,552 = 562,552/x
  3. Step 3: Cross multiply
    407,111x = 562,552 × 562,552
  4. Step 4: Simplify right side
    407,111x = 316,464,752,704
  5. Step 5: Solve for x
    x = 316,464,752,704/407,111
  6. Step 6: Final answer
    x = 777,342.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.