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Finding the Third Proportional to 458,703 and 701,230.50

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Solution

The third proportional to 458,703 and 701,230.50 is: 1,071,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,703 : 701,230.50 = 701,230.50 : x
  2. Step 2: Convert to fraction form
    458,703/701,230.50 = 701,230.50/x
  3. Step 3: Cross multiply
    458,703x = 701,230.50 × 701,230.50
  4. Step 4: Simplify right side
    458,703x = 491,724,214,130.25
  5. Step 5: Solve for x
    x = 491,724,214,130.25/458,703
  6. Step 6: Final answer
    x = 1,071,988.22

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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.