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Finding the Third Proportional to 453,699.50 and 696,410.50

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Solution

The third proportional to 453,699.50 and 696,410.50 is: 1,068,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,699.50 : 696,410.50 = 696,410.50 : x
  2. Step 2: Convert to fraction form
    453,699.50/696,410.50 = 696,410.50/x
  3. Step 3: Cross multiply
    453,699.50x = 696,410.50 × 696,410.50
  4. Step 4: Simplify right side
    453,699.50x = 484,987,584,510.25
  5. Step 5: Solve for x
    x = 484,987,584,510.25/453,699.50
  6. Step 6: Final answer
    x = 1,068,962.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.