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Finding the Third Proportional to 652,332.75 and 1,323,007.50

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Solution

The third proportional to 652,332.75 and 1,323,007.50 is: 2,683,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,332.75 : 1,323,007.50 = 1,323,007.50 : x
  2. Step 2: Convert to fraction form
    652,332.75/1,323,007.50 = 1,323,007.50/x
  3. Step 3: Cross multiply
    652,332.75x = 1,323,007.50 × 1,323,007.50
  4. Step 4: Simplify right side
    652,332.75x = 1,750,348,845,056.25
  5. Step 5: Solve for x
    x = 1,750,348,845,056.25/652,332.75
  6. Step 6: Final answer
    x = 2,683,214.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.