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Finding the Third Proportional to 469,044 and 726,720

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Solution

The third proportional to 469,044 and 726,720 is: 1,125,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,044 : 726,720 = 726,720 : x
  2. Step 2: Convert to fraction form
    469,044/726,720 = 726,720/x
  3. Step 3: Cross multiply
    469,044x = 726,720 × 726,720
  4. Step 4: Simplify right side
    469,044x = 528,121,958,400
  5. Step 5: Solve for x
    x = 528,121,958,400/469,044
  6. Step 6: Final answer
    x = 1,125,953.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.