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Finding the Third Proportional to 191,810 and 448,007

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Solution

The third proportional to 191,810 and 448,007 is: 1,046,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,810 : 448,007 = 448,007 : x
  2. Step 2: Convert to fraction form
    191,810/448,007 = 448,007/x
  3. Step 3: Cross multiply
    191,810x = 448,007 × 448,007
  4. Step 4: Simplify right side
    191,810x = 200,710,272,049
  5. Step 5: Solve for x
    x = 200,710,272,049/191,810
  6. Step 6: Final answer
    x = 1,046,401.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.