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Finding the Third Proportional to 298,430 and 462,773

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Solution

The third proportional to 298,430 and 462,773 is: 717,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,430 : 462,773 = 462,773 : x
  2. Step 2: Convert to fraction form
    298,430/462,773 = 462,773/x
  3. Step 3: Cross multiply
    298,430x = 462,773 × 462,773
  4. Step 4: Simplify right side
    298,430x = 214,158,849,529
  5. Step 5: Solve for x
    x = 214,158,849,529/298,430
  6. Step 6: Final answer
    x = 717,618.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.