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Finding the Third Proportional to 388,767 and 634,819

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Solution

The third proportional to 388,767 and 634,819 is: 1,036,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,767 : 634,819 = 634,819 : x
  2. Step 2: Convert to fraction form
    388,767/634,819 = 634,819/x
  3. Step 3: Cross multiply
    388,767x = 634,819 × 634,819
  4. Step 4: Simplify right side
    388,767x = 402,995,162,761
  5. Step 5: Solve for x
    x = 402,995,162,761/388,767
  6. Step 6: Final answer
    x = 1,036,598.18

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.