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Finding the Third Proportional to 562,217 and 869,598.75

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Solution

The third proportional to 562,217 and 869,598.75 is: 1,345,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,217 : 869,598.75 = 869,598.75 : x
  2. Step 2: Convert to fraction form
    562,217/869,598.75 = 869,598.75/x
  3. Step 3: Cross multiply
    562,217x = 869,598.75 × 869,598.75
  4. Step 4: Simplify right side
    562,217x = 756,201,986,001.56
  5. Step 5: Solve for x
    x = 756,201,986,001.56/562,217
  6. Step 6: Final answer
    x = 1,345,035.79

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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.