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Finding the Third Proportional to 577,572 and 897,771

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Solution

The third proportional to 577,572 and 897,771 is: 1,395,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,572 : 897,771 = 897,771 : x
  2. Step 2: Convert to fraction form
    577,572/897,771 = 897,771/x
  3. Step 3: Cross multiply
    577,572x = 897,771 × 897,771
  4. Step 4: Simplify right side
    577,572x = 805,992,768,441
  5. Step 5: Solve for x
    x = 805,992,768,441/577,572
  6. Step 6: Final answer
    x = 1,395,484.49

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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.