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Finding the Third Proportional to 350,498 and 762,506

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Solution

The third proportional to 350,498 and 762,506 is: 1,658,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,498 : 762,506 = 762,506 : x
  2. Step 2: Convert to fraction form
    350,498/762,506 = 762,506/x
  3. Step 3: Cross multiply
    350,498x = 762,506 × 762,506
  4. Step 4: Simplify right side
    350,498x = 581,415,400,036
  5. Step 5: Solve for x
    x = 581,415,400,036/350,498
  6. Step 6: Final answer
    x = 1,658,826.58

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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.