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Finding the Third Proportional to 535,275 and 781,555.50

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Solution

The third proportional to 535,275 and 781,555.50 is: 1,141,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,275 : 781,555.50 = 781,555.50 : x
  2. Step 2: Convert to fraction form
    535,275/781,555.50 = 781,555.50/x
  3. Step 3: Cross multiply
    535,275x = 781,555.50 × 781,555.50
  4. Step 4: Simplify right side
    535,275x = 610,828,999,580.25
  5. Step 5: Solve for x
    x = 610,828,999,580.25/535,275
  6. Step 6: Final answer
    x = 1,141,149.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.