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Finding the Third Proportional to 407,017 and 598,330

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Solution

The third proportional to 407,017 and 598,330 is: 879,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,017 : 598,330 = 598,330 : x
  2. Step 2: Convert to fraction form
    407,017/598,330 = 598,330/x
  3. Step 3: Cross multiply
    407,017x = 598,330 × 598,330
  4. Step 4: Simplify right side
    407,017x = 357,998,788,900
  5. Step 5: Solve for x
    x = 357,998,788,900/407,017
  6. Step 6: Final answer
    x = 879,567.17

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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.