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Finding the Third Proportional to 650,302 and 1,000,330

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Solution

The third proportional to 650,302 and 1,000,330 is: 1,538,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,302 : 1,000,330 = 1,000,330 : x
  2. Step 2: Convert to fraction form
    650,302/1,000,330 = 1,000,330/x
  3. Step 3: Cross multiply
    650,302x = 1,000,330 × 1,000,330
  4. Step 4: Simplify right side
    650,302x = 1,000,660,108,900
  5. Step 5: Solve for x
    x = 1,000,660,108,900/650,302
  6. Step 6: Final answer
    x = 1,538,762.16

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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.