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Finding the Third Proportional to 502,324 and 704,006

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Solution

The third proportional to 502,324 and 704,006 is: 986,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,324 : 704,006 = 704,006 : x
  2. Step 2: Convert to fraction form
    502,324/704,006 = 704,006/x
  3. Step 3: Cross multiply
    502,324x = 704,006 × 704,006
  4. Step 4: Simplify right side
    502,324x = 495,624,448,036
  5. Step 5: Solve for x
    x = 495,624,448,036/502,324
  6. Step 6: Final answer
    x = 986,662.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.