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Finding the Third Proportional to 315,221 and 684,024

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Solution

The third proportional to 315,221 and 684,024 is: 1,484,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,221 : 684,024 = 684,024 : x
  2. Step 2: Convert to fraction form
    315,221/684,024 = 684,024/x
  3. Step 3: Cross multiply
    315,221x = 684,024 × 684,024
  4. Step 4: Simplify right side
    315,221x = 467,888,832,576
  5. Step 5: Solve for x
    x = 467,888,832,576/315,221
  6. Step 6: Final answer
    x = 1,484,319.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.