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Finding the Third Proportional to 264,421.13 and 402,831.56

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Solution

The third proportional to 264,421.13 and 402,831.56 is: 613,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,421.13 : 402,831.56 = 402,831.56 : x
  2. Step 2: Convert to fraction form
    264,421.13/402,831.56 = 402,831.56/x
  3. Step 3: Cross multiply
    264,421.13x = 402,831.56 × 402,831.56
  4. Step 4: Simplify right side
    264,421.13x = 162,273,267,746.19
  5. Step 5: Solve for x
    x = 162,273,267,746.19/264,421.13
  6. Step 6: Final answer
    x = 613,692.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.