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Finding the Third Proportional to 498,856.50 and 1,130,878.50

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Solution

The third proportional to 498,856.50 and 1,130,878.50 is: 2,563,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,856.50 : 1,130,878.50 = 1,130,878.50 : x
  2. Step 2: Convert to fraction form
    498,856.50/1,130,878.50 = 1,130,878.50/x
  3. Step 3: Cross multiply
    498,856.50x = 1,130,878.50 × 1,130,878.50
  4. Step 4: Simplify right side
    498,856.50x = 1,278,886,181,762.25
  5. Step 5: Solve for x
    x = 1,278,886,181,762.25/498,856.50
  6. Step 6: Final answer
    x = 2,563,635.40

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.