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Finding the Third Proportional to 411,168.81 and 632,809.49

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Solution

The third proportional to 411,168.81 and 632,809.49 is: 973,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,168.81 : 632,809.49 = 632,809.49 : x
  2. Step 2: Convert to fraction form
    411,168.81/632,809.49 = 632,809.49/x
  3. Step 3: Cross multiply
    411,168.81x = 632,809.49 × 632,809.49
  4. Step 4: Simplify right side
    411,168.81x = 400,447,855,874.51
  5. Step 5: Solve for x
    x = 400,447,855,874.51/411,168.81
  6. Step 6: Final answer
    x = 973,925.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.