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Finding the Third Proportional to 502,009.75 and 1,103,664.50

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Solution

The third proportional to 502,009.75 and 1,103,664.50 is: 2,426,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,009.75 : 1,103,664.50 = 1,103,664.50 : x
  2. Step 2: Convert to fraction form
    502,009.75/1,103,664.50 = 1,103,664.50/x
  3. Step 3: Cross multiply
    502,009.75x = 1,103,664.50 × 1,103,664.50
  4. Step 4: Simplify right side
    502,009.75x = 1,218,075,328,560.25
  5. Step 5: Solve for x
    x = 1,218,075,328,560.25/502,009.75
  6. Step 6: Final answer
    x = 2,426,397.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.