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Finding the Third Proportional to 429,532 and 914,360

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Solution

The third proportional to 429,532 and 914,360 is: 1,946,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,532 : 914,360 = 914,360 : x
  2. Step 2: Convert to fraction form
    429,532/914,360 = 914,360/x
  3. Step 3: Cross multiply
    429,532x = 914,360 × 914,360
  4. Step 4: Simplify right side
    429,532x = 836,054,209,600
  5. Step 5: Solve for x
    x = 836,054,209,600/429,532
  6. Step 6: Final answer
    x = 1,946,430.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.