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Finding the Third Proportional to 430,200 and 668,310

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Solution

The third proportional to 430,200 and 668,310 is: 1,038,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,200 : 668,310 = 668,310 : x
  2. Step 2: Convert to fraction form
    430,200/668,310 = 668,310/x
  3. Step 3: Cross multiply
    430,200x = 668,310 × 668,310
  4. Step 4: Simplify right side
    430,200x = 446,638,256,100
  5. Step 5: Solve for x
    x = 446,638,256,100/430,200
  6. Step 6: Final answer
    x = 1,038,210.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.