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Finding the Third Proportional to 713,884.50 and 1,105,386.75

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Solution

The third proportional to 713,884.50 and 1,105,386.75 is: 1,711,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,884.50 : 1,105,386.75 = 1,105,386.75 : x
  2. Step 2: Convert to fraction form
    713,884.50/1,105,386.75 = 1,105,386.75/x
  3. Step 3: Cross multiply
    713,884.50x = 1,105,386.75 × 1,105,386.75
  4. Step 4: Simplify right side
    713,884.50x = 1,221,879,867,075.56
  5. Step 5: Solve for x
    x = 1,221,879,867,075.56/713,884.50
  6. Step 6: Final answer
    x = 1,711,593.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.