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Finding the Third Proportional to 577,224 and 843,492

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Solution

The third proportional to 577,224 and 843,492 is: 1,232,586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,224 : 843,492 = 843,492 : x
  2. Step 2: Convert to fraction form
    577,224/843,492 = 843,492/x
  3. Step 3: Cross multiply
    577,224x = 843,492 × 843,492
  4. Step 4: Simplify right side
    577,224x = 711,478,754,064
  5. Step 5: Solve for x
    x = 711,478,754,064/577,224
  6. Step 6: Final answer
    x = 1,232,586.92

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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.