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Finding the Third Proportional to 357,564 and 530,158

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Solution

The third proportional to 357,564 and 530,158 is: 786,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,564 : 530,158 = 530,158 : x
  2. Step 2: Convert to fraction form
    357,564/530,158 = 530,158/x
  3. Step 3: Cross multiply
    357,564x = 530,158 × 530,158
  4. Step 4: Simplify right side
    357,564x = 281,067,504,964
  5. Step 5: Solve for x
    x = 281,067,504,964/357,564
  6. Step 6: Final answer
    x = 786,062.09

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