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Finding the Third Proportional to 460,740 and 687,556.50

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Solution

The third proportional to 460,740 and 687,556.50 is: 1,026,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,740 : 687,556.50 = 687,556.50 : x
  2. Step 2: Convert to fraction form
    460,740/687,556.50 = 687,556.50/x
  3. Step 3: Cross multiply
    460,740x = 687,556.50 × 687,556.50
  4. Step 4: Simplify right side
    460,740x = 472,733,940,692.25
  5. Step 5: Solve for x
    x = 472,733,940,692.25/460,740
  6. Step 6: Final answer
    x = 1,026,031.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.