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Finding the Third Proportional to 554,724 and 812,340

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Solution

The third proportional to 554,724 and 812,340 is: 1,189,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,724 : 812,340 = 812,340 : x
  2. Step 2: Convert to fraction form
    554,724/812,340 = 812,340/x
  3. Step 3: Cross multiply
    554,724x = 812,340 × 812,340
  4. Step 4: Simplify right side
    554,724x = 659,896,275,600
  5. Step 5: Solve for x
    x = 659,896,275,600/554,724
  6. Step 6: Final answer
    x = 1,189,593.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.