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Finding the Third Proportional to 652,032.28 and 997,464.38

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Solution

The third proportional to 652,032.28 and 997,464.38 is: 1,525,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,032.28 : 997,464.38 = 997,464.38 : x
  2. Step 2: Convert to fraction form
    652,032.28/997,464.38 = 997,464.38/x
  3. Step 3: Cross multiply
    652,032.28x = 997,464.38 × 997,464.38
  4. Step 4: Simplify right side
    652,032.28x = 994,935,179,394.14
  5. Step 5: Solve for x
    x = 994,935,179,394.14/652,032.28
  6. Step 6: Final answer
    x = 1,525,898.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.