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Finding the Third Proportional to 676,350 and 1,044,292.50

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Solution

The third proportional to 676,350 and 1,044,292.50 is: 1,612,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,350 : 1,044,292.50 = 1,044,292.50 : x
  2. Step 2: Convert to fraction form
    676,350/1,044,292.50 = 1,044,292.50/x
  3. Step 3: Cross multiply
    676,350x = 1,044,292.50 × 1,044,292.50
  4. Step 4: Simplify right side
    676,350x = 1,090,546,825,556.25
  5. Step 5: Solve for x
    x = 1,090,546,825,556.25/676,350
  6. Step 6: Final answer
    x = 1,612,400.13

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