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Finding the Third Proportional to 427,842 and 750,703.50

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Solution

The third proportional to 427,842 and 750,703.50 is: 1,317,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,842 : 750,703.50 = 750,703.50 : x
  2. Step 2: Convert to fraction form
    427,842/750,703.50 = 750,703.50/x
  3. Step 3: Cross multiply
    427,842x = 750,703.50 × 750,703.50
  4. Step 4: Simplify right side
    427,842x = 563,555,744,912.25
  5. Step 5: Solve for x
    x = 563,555,744,912.25/427,842
  6. Step 6: Final answer
    x = 1,317,205.29

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.