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Finding the Third Proportional to 350,428 and 548,977.50

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Solution

The third proportional to 350,428 and 548,977.50 is: 860,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,428 : 548,977.50 = 548,977.50 : x
  2. Step 2: Convert to fraction form
    350,428/548,977.50 = 548,977.50/x
  3. Step 3: Cross multiply
    350,428x = 548,977.50 × 548,977.50
  4. Step 4: Simplify right side
    350,428x = 301,376,295,506.25
  5. Step 5: Solve for x
    x = 301,376,295,506.25/350,428
  6. Step 6: Final answer
    x = 860,023.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.