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Finding the Third Proportional to 357,567 and 530,170.50

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Solution

The third proportional to 357,567 and 530,170.50 is: 786,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,567 : 530,170.50 = 530,170.50 : x
  2. Step 2: Convert to fraction form
    357,567/530,170.50 = 530,170.50/x
  3. Step 3: Cross multiply
    357,567x = 530,170.50 × 530,170.50
  4. Step 4: Simplify right side
    357,567x = 281,080,759,070.25
  5. Step 5: Solve for x
    x = 281,080,759,070.25/357,567
  6. Step 6: Final answer
    x = 786,092.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.