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Finding the Third Proportional to 734,725 and 1,134,826.50

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Solution

The third proportional to 734,725 and 1,134,826.50 is: 1,752,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,725 : 1,134,826.50 = 1,134,826.50 : x
  2. Step 2: Convert to fraction form
    734,725/1,134,826.50 = 1,134,826.50/x
  3. Step 3: Cross multiply
    734,725x = 1,134,826.50 × 1,134,826.50
  4. Step 4: Simplify right side
    734,725x = 1,287,831,185,102.25
  5. Step 5: Solve for x
    x = 1,287,831,185,102.25/734,725
  6. Step 6: Final answer
    x = 1,752,807.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.