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Finding the Third Proportional to 349,213 and 762,397

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Solution

The third proportional to 349,213 and 762,397 is: 1,664,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,213 : 762,397 = 762,397 : x
  2. Step 2: Convert to fraction form
    349,213/762,397 = 762,397/x
  3. Step 3: Cross multiply
    349,213x = 762,397 × 762,397
  4. Step 4: Simplify right side
    349,213x = 581,249,185,609
  5. Step 5: Solve for x
    x = 581,249,185,609/349,213
  6. Step 6: Final answer
    x = 1,664,454.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.