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Finding the Third Proportional to 340,551 and 510,826.50

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Solution

The third proportional to 340,551 and 510,826.50 is: 766,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,551 : 510,826.50 = 510,826.50 : x
  2. Step 2: Convert to fraction form
    340,551/510,826.50 = 510,826.50/x
  3. Step 3: Cross multiply
    340,551x = 510,826.50 × 510,826.50
  4. Step 4: Simplify right side
    340,551x = 260,943,713,102.25
  5. Step 5: Solve for x
    x = 260,943,713,102.25/340,551
  6. Step 6: Final answer
    x = 766,239.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.