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Finding the Third Proportional to 595,334 and 894,342

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Solution

The third proportional to 595,334 and 894,342 is: 1,343,527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,334 : 894,342 = 894,342 : x
  2. Step 2: Convert to fraction form
    595,334/894,342 = 894,342/x
  3. Step 3: Cross multiply
    595,334x = 894,342 × 894,342
  4. Step 4: Simplify right side
    595,334x = 799,847,612,964
  5. Step 5: Solve for x
    x = 799,847,612,964/595,334
  6. Step 6: Final answer
    x = 1,343,527.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.