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Finding the Third Proportional to 235,592 and 510,784

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Solution

The third proportional to 235,592 and 510,784 is: 1,107,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,592 : 510,784 = 510,784 : x
  2. Step 2: Convert to fraction form
    235,592/510,784 = 510,784/x
  3. Step 3: Cross multiply
    235,592x = 510,784 × 510,784
  4. Step 4: Simplify right side
    235,592x = 260,900,294,656
  5. Step 5: Solve for x
    x = 260,900,294,656/235,592
  6. Step 6: Final answer
    x = 1,107,424.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.