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Finding the Third Proportional to 281,281 and 606,541

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Solution

The third proportional to 281,281 and 606,541 is: 1,307,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,281 : 606,541 = 606,541 : x
  2. Step 2: Convert to fraction form
    281,281/606,541 = 606,541/x
  3. Step 3: Cross multiply
    281,281x = 606,541 × 606,541
  4. Step 4: Simplify right side
    281,281x = 367,891,984,681
  5. Step 5: Solve for x
    x = 367,891,984,681/281,281
  6. Step 6: Final answer
    x = 1,307,916.23

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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.