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Finding the Third Proportional to 469,752 and 704,772

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Solution

The third proportional to 469,752 and 704,772 is: 1,057,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,752 : 704,772 = 704,772 : x
  2. Step 2: Convert to fraction form
    469,752/704,772 = 704,772/x
  3. Step 3: Cross multiply
    469,752x = 704,772 × 704,772
  4. Step 4: Simplify right side
    469,752x = 496,703,571,984
  5. Step 5: Solve for x
    x = 496,703,571,984/469,752
  6. Step 6: Final answer
    x = 1,057,374.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.