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Finding the Third Proportional to 430,870 and 681,947

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Solution

The third proportional to 430,870 and 681,947 is: 1,079,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,870 : 681,947 = 681,947 : x
  2. Step 2: Convert to fraction form
    430,870/681,947 = 681,947/x
  3. Step 3: Cross multiply
    430,870x = 681,947 × 681,947
  4. Step 4: Simplify right side
    430,870x = 465,051,710,809
  5. Step 5: Solve for x
    x = 465,051,710,809/430,870
  6. Step 6: Final answer
    x = 1,079,331.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.