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Finding the Third Proportional to 507,145.50 and 784,863

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Solution

The third proportional to 507,145.50 and 784,863 is: 1,214,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,145.50 : 784,863 = 784,863 : x
  2. Step 2: Convert to fraction form
    507,145.50/784,863 = 784,863/x
  3. Step 3: Cross multiply
    507,145.50x = 784,863 × 784,863
  4. Step 4: Simplify right side
    507,145.50x = 616,009,928,769
  5. Step 5: Solve for x
    x = 616,009,928,769/507,145.50
  6. Step 6: Final answer
    x = 1,214,661.14

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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.