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Finding the Third Proportional to 451,186 and 634,807

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Solution

The third proportional to 451,186 and 634,807 is: 893,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,186 : 634,807 = 634,807 : x
  2. Step 2: Convert to fraction form
    451,186/634,807 = 634,807/x
  3. Step 3: Cross multiply
    451,186x = 634,807 × 634,807
  4. Step 4: Simplify right side
    451,186x = 402,979,927,249
  5. Step 5: Solve for x
    x = 402,979,927,249/451,186
  6. Step 6: Final answer
    x = 893,156.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.