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Finding the Third Proportional to 281,110.50 and 602,397

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Solution

The third proportional to 281,110.50 and 602,397 is: 1,290,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,110.50 : 602,397 = 602,397 : x
  2. Step 2: Convert to fraction form
    281,110.50/602,397 = 602,397/x
  3. Step 3: Cross multiply
    281,110.50x = 602,397 × 602,397
  4. Step 4: Simplify right side
    281,110.50x = 362,882,145,609
  5. Step 5: Solve for x
    x = 362,882,145,609/281,110.50
  6. Step 6: Final answer
    x = 1,290,887.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.