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Finding the Third Proportional to 572,364 and 906,084

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Solution

The third proportional to 572,364 and 906,084 is: 1,434,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,364 : 906,084 = 906,084 : x
  2. Step 2: Convert to fraction form
    572,364/906,084 = 906,084/x
  3. Step 3: Cross multiply
    572,364x = 906,084 × 906,084
  4. Step 4: Simplify right side
    572,364x = 820,988,215,056
  5. Step 5: Solve for x
    x = 820,988,215,056/572,364
  6. Step 6: Final answer
    x = 1,434,381.29

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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.