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Finding the Third Proportional to 407,055 and 598,394

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Solution

The third proportional to 407,055 and 598,394 is: 879,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,055 : 598,394 = 598,394 : x
  2. Step 2: Convert to fraction form
    407,055/598,394 = 598,394/x
  3. Step 3: Cross multiply
    407,055x = 598,394 × 598,394
  4. Step 4: Simplify right side
    407,055x = 358,075,379,236
  5. Step 5: Solve for x
    x = 358,075,379,236/407,055
  6. Step 6: Final answer
    x = 879,673.21

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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.