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Finding the Third Proportional to 466,465.50 and 659,920.50

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Solution

The third proportional to 466,465.50 and 659,920.50 is: 933,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,465.50 : 659,920.50 = 659,920.50 : x
  2. Step 2: Convert to fraction form
    466,465.50/659,920.50 = 659,920.50/x
  3. Step 3: Cross multiply
    466,465.50x = 659,920.50 × 659,920.50
  4. Step 4: Simplify right side
    466,465.50x = 435,495,066,320.25
  5. Step 5: Solve for x
    x = 435,495,066,320.25/466,465.50
  6. Step 6: Final answer
    x = 933,606.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.