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Finding the Third Proportional to 707,968 and 1,061,749.50

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Solution

The third proportional to 707,968 and 1,061,749.50 is: 1,592,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,968 : 1,061,749.50 = 1,061,749.50 : x
  2. Step 2: Convert to fraction form
    707,968/1,061,749.50 = 1,061,749.50/x
  3. Step 3: Cross multiply
    707,968x = 1,061,749.50 × 1,061,749.50
  4. Step 4: Simplify right side
    707,968x = 1,127,312,000,750.25
  5. Step 5: Solve for x
    x = 1,127,312,000,750.25/707,968
  6. Step 6: Final answer
    x = 1,592,320.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.