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Finding the Third Proportional to 209,784 and 314,603

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Solution

The third proportional to 209,784 and 314,603 is: 471,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,784 : 314,603 = 314,603 : x
  2. Step 2: Convert to fraction form
    209,784/314,603 = 314,603/x
  3. Step 3: Cross multiply
    209,784x = 314,603 × 314,603
  4. Step 4: Simplify right side
    209,784x = 98,975,047,609
  5. Step 5: Solve for x
    x = 98,975,047,609/209,784
  6. Step 6: Final answer
    x = 471,795.03

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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.