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Finding the Third Proportional to 300,534 and 634,602

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Solution

The third proportional to 300,534 and 634,602 is: 1,340,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,534 : 634,602 = 634,602 : x
  2. Step 2: Convert to fraction form
    300,534/634,602 = 634,602/x
  3. Step 3: Cross multiply
    300,534x = 634,602 × 634,602
  4. Step 4: Simplify right side
    300,534x = 402,719,698,404
  5. Step 5: Solve for x
    x = 402,719,698,404/300,534
  6. Step 6: Final answer
    x = 1,340,013.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.