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Finding the Third Proportional to 289,356 and 634,740

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Solution

The third proportional to 289,356 and 634,740 is: 1,392,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,356 : 634,740 = 634,740 : x
  2. Step 2: Convert to fraction form
    289,356/634,740 = 634,740/x
  3. Step 3: Cross multiply
    289,356x = 634,740 × 634,740
  4. Step 4: Simplify right side
    289,356x = 402,894,867,600
  5. Step 5: Solve for x
    x = 402,894,867,600/289,356
  6. Step 6: Final answer
    x = 1,392,384.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.