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Finding the Third Proportional to 280,293 and 658,030.50

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Solution

The third proportional to 280,293 and 658,030.50 is: 1,544,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,293 : 658,030.50 = 658,030.50 : x
  2. Step 2: Convert to fraction form
    280,293/658,030.50 = 658,030.50/x
  3. Step 3: Cross multiply
    280,293x = 658,030.50 × 658,030.50
  4. Step 4: Simplify right side
    280,293x = 433,004,138,930.25
  5. Step 5: Solve for x
    x = 433,004,138,930.25/280,293
  6. Step 6: Final answer
    x = 1,544,826.80

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.