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Finding the Third Proportional to 316,102.50 and 684,693

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Solution

The third proportional to 316,102.50 and 684,693 is: 1,483,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,102.50 : 684,693 = 684,693 : x
  2. Step 2: Convert to fraction form
    316,102.50/684,693 = 684,693/x
  3. Step 3: Cross multiply
    316,102.50x = 684,693 × 684,693
  4. Step 4: Simplify right side
    316,102.50x = 468,804,504,249
  5. Step 5: Solve for x
    x = 468,804,504,249/316,102.50
  6. Step 6: Final answer
    x = 1,483,077.50

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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.