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Finding the Third Proportional to 235,683 and 512,347.50

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Solution

The third proportional to 235,683 and 512,347.50 is: 1,113,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,683 : 512,347.50 = 512,347.50 : x
  2. Step 2: Convert to fraction form
    235,683/512,347.50 = 512,347.50/x
  3. Step 3: Cross multiply
    235,683x = 512,347.50 × 512,347.50
  4. Step 4: Simplify right side
    235,683x = 262,499,960,756.25
  5. Step 5: Solve for x
    x = 262,499,960,756.25/235,683
  6. Step 6: Final answer
    x = 1,113,784.03

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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.