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Finding the Third Proportional to 209,749 and 314,646

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Solution

The third proportional to 209,749 and 314,646 is: 472,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,749 : 314,646 = 314,646 : x
  2. Step 2: Convert to fraction form
    209,749/314,646 = 314,646/x
  3. Step 3: Cross multiply
    209,749x = 314,646 × 314,646
  4. Step 4: Simplify right side
    209,749x = 99,002,105,316
  5. Step 5: Solve for x
    x = 99,002,105,316/209,749
  6. Step 6: Final answer
    x = 472,002.75

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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.