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Finding the Third Proportional to 297,762 and 461,179.50

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Solution

The third proportional to 297,762 and 461,179.50 is: 714,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,762 : 461,179.50 = 461,179.50 : x
  2. Step 2: Convert to fraction form
    297,762/461,179.50 = 461,179.50/x
  3. Step 3: Cross multiply
    297,762x = 461,179.50 × 461,179.50
  4. Step 4: Simplify right side
    297,762x = 212,686,531,220.25
  5. Step 5: Solve for x
    x = 212,686,531,220.25/297,762
  6. Step 6: Final answer
    x = 714,283.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.