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Finding the Third Proportional to 615,270 and 931,405.50

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Solution

The third proportional to 615,270 and 931,405.50 is: 1,409,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,270 : 931,405.50 = 931,405.50 : x
  2. Step 2: Convert to fraction form
    615,270/931,405.50 = 931,405.50/x
  3. Step 3: Cross multiply
    615,270x = 931,405.50 × 931,405.50
  4. Step 4: Simplify right side
    615,270x = 867,516,205,430.25
  5. Step 5: Solve for x
    x = 867,516,205,430.25/615,270
  6. Step 6: Final answer
    x = 1,409,976.44

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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.