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Finding the Third Proportional to 290,226 and 448,473

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Solution

The third proportional to 290,226 and 448,473 is: 693,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,226 : 448,473 = 448,473 : x
  2. Step 2: Convert to fraction form
    290,226/448,473 = 448,473/x
  3. Step 3: Cross multiply
    290,226x = 448,473 × 448,473
  4. Step 4: Simplify right side
    290,226x = 201,128,031,729
  5. Step 5: Solve for x
    x = 201,128,031,729/290,226
  6. Step 6: Final answer
    x = 693,004.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.