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Finding the Third Proportional to 209,700 and 452,772

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Solution

The third proportional to 209,700 and 452,772 is: 977,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,700 : 452,772 = 452,772 : x
  2. Step 2: Convert to fraction form
    209,700/452,772 = 452,772/x
  3. Step 3: Cross multiply
    209,700x = 452,772 × 452,772
  4. Step 4: Simplify right side
    209,700x = 205,002,483,984
  5. Step 5: Solve for x
    x = 205,002,483,984/209,700
  6. Step 6: Final answer
    x = 977,598.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.