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Finding the Third Proportional to 500,303.50 and 749,087

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Solution

The third proportional to 500,303.50 and 749,087 is: 1,121,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,303.50 : 749,087 = 749,087 : x
  2. Step 2: Convert to fraction form
    500,303.50/749,087 = 749,087/x
  3. Step 3: Cross multiply
    500,303.50x = 749,087 × 749,087
  4. Step 4: Simplify right side
    500,303.50x = 561,131,333,569
  5. Step 5: Solve for x
    x = 561,131,333,569/500,303.50
  6. Step 6: Final answer
    x = 1,121,581.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.