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Finding the Third Proportional to 469,920 and 705,024

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Solution

The third proportional to 469,920 and 705,024 is: 1,057,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,920 : 705,024 = 705,024 : x
  2. Step 2: Convert to fraction form
    469,920/705,024 = 705,024/x
  3. Step 3: Cross multiply
    469,920x = 705,024 × 705,024
  4. Step 4: Simplify right side
    469,920x = 497,058,840,576
  5. Step 5: Solve for x
    x = 497,058,840,576/469,920
  6. Step 6: Final answer
    x = 1,057,752.04

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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.