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Finding the Third Proportional to 616,770 and 953,169.75

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Solution

The third proportional to 616,770 and 953,169.75 is: 1,473,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,770 : 953,169.75 = 953,169.75 : x
  2. Step 2: Convert to fraction form
    616,770/953,169.75 = 953,169.75/x
  3. Step 3: Cross multiply
    616,770x = 953,169.75 × 953,169.75
  4. Step 4: Simplify right side
    616,770x = 908,532,572,315.06
  5. Step 5: Solve for x
    x = 908,532,572,315.06/616,770
  6. Step 6: Final answer
    x = 1,473,049.23

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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.