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Finding the Third Proportional to 209,748 and 314,644

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Solution

The third proportional to 209,748 and 314,644 is: 471,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,748 : 314,644 = 314,644 : x
  2. Step 2: Convert to fraction form
    209,748/314,644 = 314,644/x
  3. Step 3: Cross multiply
    209,748x = 314,644 × 314,644
  4. Step 4: Simplify right side
    209,748x = 99,000,846,736
  5. Step 5: Solve for x
    x = 99,000,846,736/209,748
  6. Step 6: Final answer
    x = 471,999.00

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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.