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Finding the Third Proportional to 596,502 and 903,435

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Solution

The third proportional to 596,502 and 903,435 is: 1,368,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,502 : 903,435 = 903,435 : x
  2. Step 2: Convert to fraction form
    596,502/903,435 = 903,435/x
  3. Step 3: Cross multiply
    596,502x = 903,435 × 903,435
  4. Step 4: Simplify right side
    596,502x = 816,194,799,225
  5. Step 5: Solve for x
    x = 816,194,799,225/596,502
  6. Step 6: Final answer
    x = 1,368,301.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.