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Finding the Third Proportional to 572,370 and 906,120

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Solution

The third proportional to 572,370 and 906,120 is: 1,434,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,370 : 906,120 = 906,120 : x
  2. Step 2: Convert to fraction form
    572,370/906,120 = 906,120/x
  3. Step 3: Cross multiply
    572,370x = 906,120 × 906,120
  4. Step 4: Simplify right side
    572,370x = 821,053,454,400
  5. Step 5: Solve for x
    x = 821,053,454,400/572,370
  6. Step 6: Final answer
    x = 1,434,480.24

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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.