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Finding the Third Proportional to 430,572 and 926,958

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Solution

The third proportional to 430,572 and 926,958 is: 1,995,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,572 : 926,958 = 926,958 : x
  2. Step 2: Convert to fraction form
    430,572/926,958 = 926,958/x
  3. Step 3: Cross multiply
    430,572x = 926,958 × 926,958
  4. Step 4: Simplify right side
    430,572x = 859,251,133,764
  5. Step 5: Solve for x
    x = 859,251,133,764/430,572
  6. Step 6: Final answer
    x = 1,995,603.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.