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Finding the Third Proportional to 430,084.69 and 934,932.38

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Solution

The third proportional to 430,084.69 and 934,932.38 is: 2,032,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,084.69 : 934,932.38 = 934,932.38 : x
  2. Step 2: Convert to fraction form
    430,084.69/934,932.38 = 934,932.38/x
  3. Step 3: Cross multiply
    430,084.69x = 934,932.38 × 934,932.38
  4. Step 4: Simplify right side
    430,084.69x = 874,098,545,823.14
  5. Step 5: Solve for x
    x = 874,098,545,823.14/430,084.69
  6. Step 6: Final answer
    x = 2,032,387.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.