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Finding the Third Proportional to 530,311.50 and 1,144,653.75

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Solution

The third proportional to 530,311.50 and 1,144,653.75 is: 2,470,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,311.50 : 1,144,653.75 = 1,144,653.75 : x
  2. Step 2: Convert to fraction form
    530,311.50/1,144,653.75 = 1,144,653.75/x
  3. Step 3: Cross multiply
    530,311.50x = 1,144,653.75 × 1,144,653.75
  4. Step 4: Simplify right side
    530,311.50x = 1,310,232,207,389.06
  5. Step 5: Solve for x
    x = 1,310,232,207,389.06/530,311.50
  6. Step 6: Final answer
    x = 2,470,684.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.