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Finding the Third Proportional to 496,896 and 702,432

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Solution

The third proportional to 496,896 and 702,432 is: 992,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,896 : 702,432 = 702,432 : x
  2. Step 2: Convert to fraction form
    496,896/702,432 = 702,432/x
  3. Step 3: Cross multiply
    496,896x = 702,432 × 702,432
  4. Step 4: Simplify right side
    496,896x = 493,410,714,624
  5. Step 5: Solve for x
    x = 493,410,714,624/496,896
  6. Step 6: Final answer
    x = 992,985.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.