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Finding the Third Proportional to 402,275.50 and 881,359.50

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Solution

The third proportional to 402,275.50 and 881,359.50 is: 1,931,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,275.50 : 881,359.50 = 881,359.50 : x
  2. Step 2: Convert to fraction form
    402,275.50/881,359.50 = 881,359.50/x
  3. Step 3: Cross multiply
    402,275.50x = 881,359.50 × 881,359.50
  4. Step 4: Simplify right side
    402,275.50x = 776,794,568,240.25
  5. Step 5: Solve for x
    x = 776,794,568,240.25/402,275.50
  6. Step 6: Final answer
    x = 1,931,001.44

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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.