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Finding the Third Proportional to 290,304 and 448,401.38

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Solution

The third proportional to 290,304 and 448,401.38 is: 692,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304 : 448,401.38 = 448,401.38 : x
  2. Step 2: Convert to fraction form
    290,304/448,401.38 = 448,401.38/x
  3. Step 3: Cross multiply
    290,304x = 448,401.38 × 448,401.38
  4. Step 4: Simplify right side
    290,304x = 201,063,793,101.89
  5. Step 5: Solve for x
    x = 201,063,793,101.89/290,304
  6. Step 6: Final answer
    x = 692,597.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.