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Finding the Third Proportional to 407,005 and 598,313

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Solution

The third proportional to 407,005 and 598,313 is: 879,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,005 : 598,313 = 598,313 : x
  2. Step 2: Convert to fraction form
    407,005/598,313 = 598,313/x
  3. Step 3: Cross multiply
    407,005x = 598,313 × 598,313
  4. Step 4: Simplify right side
    407,005x = 357,978,445,969
  5. Step 5: Solve for x
    x = 357,978,445,969/407,005
  6. Step 6: Final answer
    x = 879,543.12

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