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Finding the Third Proportional to 456,556.50 and 709,701.75

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Solution

The third proportional to 456,556.50 and 709,701.75 is: 1,103,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,556.50 : 709,701.75 = 709,701.75 : x
  2. Step 2: Convert to fraction form
    456,556.50/709,701.75 = 709,701.75/x
  3. Step 3: Cross multiply
    456,556.50x = 709,701.75 × 709,701.75
  4. Step 4: Simplify right side
    456,556.50x = 503,676,573,953.06
  5. Step 5: Solve for x
    x = 503,676,573,953.06/456,556.50
  6. Step 6: Final answer
    x = 1,103,207.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.