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Finding the Third Proportional to 498,276 and 1,169,782.50

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Solution

The third proportional to 498,276 and 1,169,782.50 is: 2,746,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,276 : 1,169,782.50 = 1,169,782.50 : x
  2. Step 2: Convert to fraction form
    498,276/1,169,782.50 = 1,169,782.50/x
  3. Step 3: Cross multiply
    498,276x = 1,169,782.50 × 1,169,782.50
  4. Step 4: Simplify right side
    498,276x = 1,368,391,097,306.25
  5. Step 5: Solve for x
    x = 1,368,391,097,306.25/498,276
  6. Step 6: Final answer
    x = 2,746,251.27

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Why These Related Problems?

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