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Finding the Third Proportional to 487,309.50 and 749,994

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Solution

The third proportional to 487,309.50 and 749,994 is: 1,154,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,309.50 : 749,994 = 749,994 : x
  2. Step 2: Convert to fraction form
    487,309.50/749,994 = 749,994/x
  3. Step 3: Cross multiply
    487,309.50x = 749,994 × 749,994
  4. Step 4: Simplify right side
    487,309.50x = 562,491,000,036
  5. Step 5: Solve for x
    x = 562,491,000,036/487,309.50
  6. Step 6: Final answer
    x = 1,154,278.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.