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Finding the Third Proportional to 316,128 and 684,720

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Solution

The third proportional to 316,128 and 684,720 is: 1,483,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,128 : 684,720 = 684,720 : x
  2. Step 2: Convert to fraction form
    316,128/684,720 = 684,720/x
  3. Step 3: Cross multiply
    316,128x = 684,720 × 684,720
  4. Step 4: Simplify right side
    316,128x = 468,841,478,400
  5. Step 5: Solve for x
    x = 468,841,478,400/316,128
  6. Step 6: Final answer
    x = 1,483,074.83

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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.