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Finding the Third Proportional to 615,451.50 and 973,762

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Solution

The third proportional to 615,451.50 and 973,762 is: 1,540,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,451.50 : 973,762 = 973,762 : x
  2. Step 2: Convert to fraction form
    615,451.50/973,762 = 973,762/x
  3. Step 3: Cross multiply
    615,451.50x = 973,762 × 973,762
  4. Step 4: Simplify right side
    615,451.50x = 948,212,432,644
  5. Step 5: Solve for x
    x = 948,212,432,644/615,451.50
  6. Step 6: Final answer
    x = 1,540,677.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.