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Finding the Third Proportional to 452,436.75 and 632,827.13

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Solution

The third proportional to 452,436.75 and 632,827.13 is: 885,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,436.75 : 632,827.13 = 632,827.13 : x
  2. Step 2: Convert to fraction form
    452,436.75/632,827.13 = 632,827.13/x
  3. Step 3: Cross multiply
    452,436.75x = 632,827.13 × 632,827.13
  4. Step 4: Simplify right side
    452,436.75x = 400,470,170,135.77
  5. Step 5: Solve for x
    x = 400,470,170,135.77/452,436.75
  6. Step 6: Final answer
    x = 885,140.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.