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Finding the Third Proportional to 411,915 and 962,347.50

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Solution

The third proportional to 411,915 and 962,347.50 is: 2,248,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,915 : 962,347.50 = 962,347.50 : x
  2. Step 2: Convert to fraction form
    411,915/962,347.50 = 962,347.50/x
  3. Step 3: Cross multiply
    411,915x = 962,347.50 × 962,347.50
  4. Step 4: Simplify right side
    411,915x = 926,112,710,756.25
  5. Step 5: Solve for x
    x = 926,112,710,756.25/411,915
  6. Step 6: Final answer
    x = 2,248,310.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.