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Finding the Third Proportional to 470,240 and 726,537

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Solution

The third proportional to 470,240 and 726,537 is: 1,122,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,240 : 726,537 = 726,537 : x
  2. Step 2: Convert to fraction form
    470,240/726,537 = 726,537/x
  3. Step 3: Cross multiply
    470,240x = 726,537 × 726,537
  4. Step 4: Simplify right side
    470,240x = 527,856,012,369
  5. Step 5: Solve for x
    x = 527,856,012,369/470,240
  6. Step 6: Final answer
    x = 1,122,524.69

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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.