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Finding the Third Proportional to 338,496.50 and 742,184.50

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Solution

The third proportional to 338,496.50 and 742,184.50 is: 1,627,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,496.50 : 742,184.50 = 742,184.50 : x
  2. Step 2: Convert to fraction form
    338,496.50/742,184.50 = 742,184.50/x
  3. Step 3: Cross multiply
    338,496.50x = 742,184.50 × 742,184.50
  4. Step 4: Simplify right side
    338,496.50x = 550,837,832,040.25
  5. Step 5: Solve for x
    x = 550,837,832,040.25/338,496.50
  6. Step 6: Final answer
    x = 1,627,307.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.