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Finding the Third Proportional to 366,939 and 607,297

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Solution

The third proportional to 366,939 and 607,297 is: 1,005,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,939 : 607,297 = 607,297 : x
  2. Step 2: Convert to fraction form
    366,939/607,297 = 607,297/x
  3. Step 3: Cross multiply
    366,939x = 607,297 × 607,297
  4. Step 4: Simplify right side
    366,939x = 368,809,646,209
  5. Step 5: Solve for x
    x = 368,809,646,209/366,939
  6. Step 6: Final answer
    x = 1,005,097.98

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.