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Finding the Third Proportional to 450,793.50 and 702,039.56

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Solution

The third proportional to 450,793.50 and 702,039.56 is: 1,093,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,793.50 : 702,039.56 = 702,039.56 : x
  2. Step 2: Convert to fraction form
    450,793.50/702,039.56 = 702,039.56/x
  3. Step 3: Cross multiply
    450,793.50x = 702,039.56 × 702,039.56
  4. Step 4: Simplify right side
    450,793.50x = 492,859,547,315.19
  5. Step 5: Solve for x
    x = 492,859,547,315.19/450,793.50
  6. Step 6: Final answer
    x = 1,093,315.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.