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Finding the Third Proportional to 553,216.50 and 834,907.50

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Solution

The third proportional to 553,216.50 and 834,907.50 is: 1,260,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,216.50 : 834,907.50 = 834,907.50 : x
  2. Step 2: Convert to fraction form
    553,216.50/834,907.50 = 834,907.50/x
  3. Step 3: Cross multiply
    553,216.50x = 834,907.50 × 834,907.50
  4. Step 4: Simplify right side
    553,216.50x = 697,070,533,556.25
  5. Step 5: Solve for x
    x = 697,070,533,556.25/553,216.50
  6. Step 6: Final answer
    x = 1,260,032.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.