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Finding the Third Proportional to 575,101.50 and 1,209,696.75

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Solution

The third proportional to 575,101.50 and 1,209,696.75 is: 2,544,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,101.50 : 1,209,696.75 = 1,209,696.75 : x
  2. Step 2: Convert to fraction form
    575,101.50/1,209,696.75 = 1,209,696.75/x
  3. Step 3: Cross multiply
    575,101.50x = 1,209,696.75 × 1,209,696.75
  4. Step 4: Simplify right side
    575,101.50x = 1,463,366,226,960.56
  5. Step 5: Solve for x
    x = 1,463,366,226,960.56/575,101.50
  6. Step 6: Final answer
    x = 2,544,535.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.