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Finding the Third Proportional to 572,416 and 906,188

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Solution

The third proportional to 572,416 and 906,188 is: 1,434,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,416 : 906,188 = 906,188 : x
  2. Step 2: Convert to fraction form
    572,416/906,188 = 906,188/x
  3. Step 3: Cross multiply
    572,416x = 906,188 × 906,188
  4. Step 4: Simplify right side
    572,416x = 821,176,691,344
  5. Step 5: Solve for x
    x = 821,176,691,344/572,416
  6. Step 6: Final answer
    x = 1,434,580.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.