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Finding the Third Proportional to 553,764 and 867,534

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Solution

The third proportional to 553,764 and 867,534 is: 1,359,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,764 : 867,534 = 867,534 : x
  2. Step 2: Convert to fraction form
    553,764/867,534 = 867,534/x
  3. Step 3: Cross multiply
    553,764x = 867,534 × 867,534
  4. Step 4: Simplify right side
    553,764x = 752,615,241,156
  5. Step 5: Solve for x
    x = 752,615,241,156/553,764
  6. Step 6: Final answer
    x = 1,359,090.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.