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Finding the Third Proportional to 356,994 and 484,596

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Solution

The third proportional to 356,994 and 484,596 is: 657,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,994 : 484,596 = 484,596 : x
  2. Step 2: Convert to fraction form
    356,994/484,596 = 484,596/x
  3. Step 3: Cross multiply
    356,994x = 484,596 × 484,596
  4. Step 4: Simplify right side
    356,994x = 234,833,283,216
  5. Step 5: Solve for x
    x = 234,833,283,216/356,994
  6. Step 6: Final answer
    x = 657,807.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.