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Finding the Third Proportional to 451,184 and 634,804

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Solution

The third proportional to 451,184 and 634,804 is: 893,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,184 : 634,804 = 634,804 : x
  2. Step 2: Convert to fraction form
    451,184/634,804 = 634,804/x
  3. Step 3: Cross multiply
    451,184x = 634,804 × 634,804
  4. Step 4: Simplify right side
    451,184x = 402,976,118,416
  5. Step 5: Solve for x
    x = 402,976,118,416/451,184
  6. Step 6: Final answer
    x = 893,152.50

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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.