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Finding the Third Proportional to 434,478.50 and 908,681

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Solution

The third proportional to 434,478.50 and 908,681 is: 1,900,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,478.50 : 908,681 = 908,681 : x
  2. Step 2: Convert to fraction form
    434,478.50/908,681 = 908,681/x
  3. Step 3: Cross multiply
    434,478.50x = 908,681 × 908,681
  4. Step 4: Simplify right side
    434,478.50x = 825,701,159,761
  5. Step 5: Solve for x
    x = 825,701,159,761/434,478.50
  6. Step 6: Final answer
    x = 1,900,441.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.