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Finding the Third Proportional to 300,532 and 634,597

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Solution

The third proportional to 300,532 and 634,597 is: 1,340,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,532 : 634,597 = 634,597 : x
  2. Step 2: Convert to fraction form
    300,532/634,597 = 634,597/x
  3. Step 3: Cross multiply
    300,532x = 634,597 × 634,597
  4. Step 4: Simplify right side
    300,532x = 402,713,352,409
  5. Step 5: Solve for x
    x = 402,713,352,409/300,532
  6. Step 6: Final answer
    x = 1,340,001.57

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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.