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Finding the Third Proportional to 615,370.50 and 931,257

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Solution

The third proportional to 615,370.50 and 931,257 is: 1,409,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,370.50 : 931,257 = 931,257 : x
  2. Step 2: Convert to fraction form
    615,370.50/931,257 = 931,257/x
  3. Step 3: Cross multiply
    615,370.50x = 931,257 × 931,257
  4. Step 4: Simplify right side
    615,370.50x = 867,239,600,049
  5. Step 5: Solve for x
    x = 867,239,600,049/615,370.50
  6. Step 6: Final answer
    x = 1,409,296.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.