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Finding the Third Proportional to 430,780.50 and 939,895.50

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Solution

The third proportional to 430,780.50 and 939,895.50 is: 2,050,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,780.50 : 939,895.50 = 939,895.50 : x
  2. Step 2: Convert to fraction form
    430,780.50/939,895.50 = 939,895.50/x
  3. Step 3: Cross multiply
    430,780.50x = 939,895.50 × 939,895.50
  4. Step 4: Simplify right side
    430,780.50x = 883,403,550,920.25
  5. Step 5: Solve for x
    x = 883,403,550,920.25/430,780.50
  6. Step 6: Final answer
    x = 2,050,704.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.