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Finding the Third Proportional to 597,354 and 914,210

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Solution

The third proportional to 597,354 and 914,210 is: 1,399,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,354 : 914,210 = 914,210 : x
  2. Step 2: Convert to fraction form
    597,354/914,210 = 914,210/x
  3. Step 3: Cross multiply
    597,354x = 914,210 × 914,210
  4. Step 4: Simplify right side
    597,354x = 835,779,924,100
  5. Step 5: Solve for x
    x = 835,779,924,100/597,354
  6. Step 6: Final answer
    x = 1,399,136.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.