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Finding the Third Proportional to 480,564 and 720,846

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Solution

The third proportional to 480,564 and 720,846 is: 1,081,269

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,564 : 720,846 = 720,846 : x
  2. Step 2: Convert to fraction form
    480,564/720,846 = 720,846/x
  3. Step 3: Cross multiply
    480,564x = 720,846 × 720,846
  4. Step 4: Simplify right side
    480,564x = 519,618,955,716
  5. Step 5: Solve for x
    x = 519,618,955,716/480,564
  6. Step 6: Final answer
    x = 1,081,269

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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.