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Finding the Third Proportional to 364,989 and 780,418.50

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Solution

The third proportional to 364,989 and 780,418.50 is: 1,668,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,989 : 780,418.50 = 780,418.50 : x
  2. Step 2: Convert to fraction form
    364,989/780,418.50 = 780,418.50/x
  3. Step 3: Cross multiply
    364,989x = 780,418.50 × 780,418.50
  4. Step 4: Simplify right side
    364,989x = 609,053,035,142.25
  5. Step 5: Solve for x
    x = 609,053,035,142.25/364,989
  6. Step 6: Final answer
    x = 1,668,688.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.