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Finding the Third Proportional to 484,384 and 719,664

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Solution

The third proportional to 484,384 and 719,664 is: 1,069,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,384 : 719,664 = 719,664 : x
  2. Step 2: Convert to fraction form
    484,384/719,664 = 719,664/x
  3. Step 3: Cross multiply
    484,384x = 719,664 × 719,664
  4. Step 4: Simplify right side
    484,384x = 517,916,272,896
  5. Step 5: Solve for x
    x = 517,916,272,896/484,384
  6. Step 6: Final answer
    x = 1,069,226.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.