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Finding the Third Proportional to 406,366 and 597,763

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Solution

The third proportional to 406,366 and 597,763 is: 879,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,366 : 597,763 = 597,763 : x
  2. Step 2: Convert to fraction form
    406,366/597,763 = 597,763/x
  3. Step 3: Cross multiply
    406,366x = 597,763 × 597,763
  4. Step 4: Simplify right side
    406,366x = 357,320,604,169
  5. Step 5: Solve for x
    x = 357,320,604,169/406,366
  6. Step 6: Final answer
    x = 879,307.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.