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Finding the Third Proportional to 509,548.50 and 1,041,210

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Solution

The third proportional to 509,548.50 and 1,041,210 is: 2,127,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,548.50 : 1,041,210 = 1,041,210 : x
  2. Step 2: Convert to fraction form
    509,548.50/1,041,210 = 1,041,210/x
  3. Step 3: Cross multiply
    509,548.50x = 1,041,210 × 1,041,210
  4. Step 4: Simplify right side
    509,548.50x = 1,084,118,264,100
  5. Step 5: Solve for x
    x = 1,084,118,264,100/509,548.50
  6. Step 6: Final answer
    x = 2,127,605.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.