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Finding the Third Proportional to 209,460 and 452,130

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Solution

The third proportional to 209,460 and 452,130 is: 975,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,460 : 452,130 = 452,130 : x
  2. Step 2: Convert to fraction form
    209,460/452,130 = 452,130/x
  3. Step 3: Cross multiply
    209,460x = 452,130 × 452,130
  4. Step 4: Simplify right side
    209,460x = 204,421,536,900
  5. Step 5: Solve for x
    x = 204,421,536,900/209,460
  6. Step 6: Final answer
    x = 975,945.46

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Why These Related Problems?

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