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Finding the Third Proportional to 357,682 and 530,370

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Solution

The third proportional to 357,682 and 530,370 is: 786,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,682 : 530,370 = 530,370 : x
  2. Step 2: Convert to fraction form
    357,682/530,370 = 530,370/x
  3. Step 3: Cross multiply
    357,682x = 530,370 × 530,370
  4. Step 4: Simplify right side
    357,682x = 281,292,336,900
  5. Step 5: Solve for x
    x = 281,292,336,900/357,682
  6. Step 6: Final answer
    x = 786,431.35

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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.