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Finding the Third Proportional to 766,749 and 1,160,869.50

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Solution

The third proportional to 766,749 and 1,160,869.50 is: 1,757,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,749 : 1,160,869.50 = 1,160,869.50 : x
  2. Step 2: Convert to fraction form
    766,749/1,160,869.50 = 1,160,869.50/x
  3. Step 3: Cross multiply
    766,749x = 1,160,869.50 × 1,160,869.50
  4. Step 4: Simplify right side
    766,749x = 1,347,617,996,030.25
  5. Step 5: Solve for x
    x = 1,347,617,996,030.25/766,749
  6. Step 6: Final answer
    x = 1,757,573.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.