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Finding the Third Proportional to 367,772 and 562,354

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Solution

The third proportional to 367,772 and 562,354 is: 859,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,772 : 562,354 = 562,354 : x
  2. Step 2: Convert to fraction form
    367,772/562,354 = 562,354/x
  3. Step 3: Cross multiply
    367,772x = 562,354 × 562,354
  4. Step 4: Simplify right side
    367,772x = 316,242,021,316
  5. Step 5: Solve for x
    x = 316,242,021,316/367,772
  6. Step 6: Final answer
    x = 859,886.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.